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Paper Citation Record · LEDGER

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras

As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 3 inbound Pith citation observations for arXiv:2505.04378.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.04378 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:37:46.220039Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:15:57.817587Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-22T15:56:45.811143Z

Reference resolution

35 of 35 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved26
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 341af98c-8ec3-44de-a3f5-dd9134a2c198 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.782148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation c4f19bda-fe7e-4d8b-89b6-9862c14f5b23 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.767557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 3a0023a5-ceff-489e-a082-137b7b2512e5 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.753221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 33b8bfbe-9986-4706-af11-4d2a330b40a2 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.737568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 2f2c076c-be53-457e-b16c-1756b204819d · outbound

This paper cites Quantum Grav.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Quantum Grav

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:37:46.722877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 266607ee-0757-4b3d-a5a8-215ed83e6185 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.708028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 5c7449c1-e132-4d28-910d-a144c8be7a71 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 7

Resolution
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raw_fallback, observed 2026-08-15T23:37:46.692648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 19862a2e-b663-4fa7-a40e-0b56f76522ca · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.677583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 7ee8a791-26d9-43d6-bd49-9a82718b5333 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 9

Resolution
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raw_fallback, observed 2026-08-15T23:37:46.662480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d3953c5b-62b2-4fd8-bdac-5c36c394ceb0 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 10

Resolution
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raw_fallback, observed 2026-08-15T23:37:46.648413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 433f8819-ad52-4d55-8bd9-86d07fd52b79 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 11

Resolution
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raw_fallback, observed 2026-08-15T23:37:46.633396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 5dfb143d-4de9-497a-906d-bdc83ed658cc · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.618605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.113034Z digest=sha256:39f2046bdabcab9c4f2e329c9f428e0e7cda4d9962038cf7fec84e38c0166341

Observation 97cac5b7-b68a-4dd3-b88e-d6cc5191cb77 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.603787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.117882Z digest=sha256:98c48535947d5ea69dee94e5fecd21d04f0c086ae8e27b271c7a5cb3c4c430cc

Observation 60eab0a4-7062-4f7d-ac72-560c8f4c7721 · outbound

This paper cites The octonionically-induced ${\cal N}=7$ exceptional $G(3)$ superconformal quantum mechanics.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras The octonionically-induced ${\cal N}=7$ exceptional $G(3)$ superconformal quantum mechanics

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:37:46.288236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 56143a16-bb08-4ddf-a897-41dc025feff5 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.588337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 1821a41a-0d11-42a5-9c6f-05ba274984f8 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.573206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation f57c25ec-e03c-4758-9c21-c3abcb268e9a · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.558605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 814af8c2-2360-4938-aa51-34cb0312624b · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.543573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation b385f357-8a33-4586-945b-21ded4bcc007 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.528482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.145456Z digest=sha256:8c7d18c155f5c48c9a1d778b5a8d67e6e4366cc885e5ef25bbab1f722b847c76

Observation 6cb83b20-d4b6-4760-b6a6-d2157df7a6cb · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.513744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.150646Z digest=sha256:1033a99d2a9a62ea5d83d0830b51b2cf165db902459dde7f8af44c87b6afeb30

Observation dace075b-53c5-4e08-a8c6-3ef6cdec0ac6 · outbound

This paper cites Algebra 37 885–893.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Algebra 37 885–893

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:37:46.498762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation fd13c6e9-9abf-4517-8206-d75ad7713294 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.483350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.159458Z digest=sha256:8da98e998845bb7442c521b2ee0284fe5e746cf069a7b4df58df9138826a7328

Observation ff354e32-c53e-4bca-ad80-e6abc94bd7e2 · outbound

This paper cites Algebra 512 382–426.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Algebra 512 382–426

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:37:46.467904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation d915ab18-aae4-4b37-a71b-01c5636dc8b3 · outbound

This paper cites https://mathworld.wolfram.com/FanoPlane.html.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras https://mathworld.wolfram.com/FanoPlane.html

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:37:46.453598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.168812Z digest=sha256:0eafc0dd02385dcfb1fdf3d11198f24b2bbe6cd51931063999d55bea91c61e03

Observation 82487496-799e-46bb-a099-f8036c653207 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.438844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.173345Z digest=sha256:f14c0e56ff7deacbbf256dc6822f4428fc556b7e24df096dab4f8c41fb25557d

Observation 56024294-b794-4c51-a5e0-49a0e5e64424 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.424125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.178734Z digest=sha256:7f05b4c662d945f85b36d1c00fb4682a9119c5cb2ef9d23ce81aaf6bc875d93b

Observation 8ce46905-b9ba-47b4-a037-f246bcfc4cb4 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.409541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.183066Z digest=sha256:3e2b0647bc77bee95987eef2a1934ef802ddf5b257f07a74691d73a5af4e6c92

Observation 14eef7d1-f4fb-483b-b6a8-cf430436183a · outbound

This paper cites New Lie algebras over the group $\mathbb Z_2^3$.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras New Lie algebras over the group $\mathbb Z_2^3$

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:37:46.265295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.187623Z digest=sha256:ddee33a1eb2fdaf455e21fc01e1e27893eeb8627f9733f6ea699f741a4718c8c

Observation f2b5d2d4-0fe5-41d4-a7cc-c5a82357246a · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.395205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.192944Z digest=sha256:bbd9d094d15708657172fdd369cbf1f8c15daf3f8c3b26262ca9dab97f8ceca3

Observation dc3e6fc1-3e9b-4503-b084-8b74775db78f · outbound

This paper cites Algebra 207 342–354.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Algebra 207 342–354

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:37:46.379981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.197595Z digest=sha256:efedea9a15de9ada7aaa9ec8cd81729b96d2121770a502c21fe70ae74eb6a218

Observation 14cb68fe-b246-46d3-936e-87a85ffde8ee · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.364551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.202095Z digest=sha256:890073744d4fdeef59fe665be09b13aed363076fbd4529ef80545fee3cdf8f18

Observation c70ac42d-9d85-4dcd-a470-818f8e650c62 · outbound

This paper cites Lie Theory 33 1005–1008.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Lie Theory 33 1005–1008

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:37:46.349273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.206346Z digest=sha256:2afa89fda80c1f48e0dbb5880aacf5151ce975593d7f56e39697517bcd85bd83

Observation ed86c37a-50f6-48f6-8246-4f580be59d15 · outbound

This paper cites Japan Acad., Ser.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Japan Acad., Ser

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T23:37:46.333954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.210866Z digest=sha256:7092708c0ec96f57ad142efb9f912d5ea789948dbeadfe6b81ad9405545e210d

Observation 9b0108ee-3d1c-403d-92a6-af4478e227c4 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.318944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.215299Z digest=sha256:2390de9a9d54e9e908b95a467d6304a726cf0efada3e966bfc22918b6523a603

Observation e0fcbda7-8e43-425d-8881-decc89e40515 · outbound

This paper cites an unresolved cited work.

$\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-15T23:37:46.303154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T23:37:46.220039Z digest=sha256:1deb7e1a33ba340803d6dc6e2c5ee083c27d8a86a639806dca7200e9c552cff2

Pith citing papers

Observation b8e8b058-8498-43d4-bc17-44266e39e142 · inbound

A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra cites this paper.

A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra $\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-22T15:56:45.814754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-22T15:55:40.812974Z digest=sha256:e9be9f04055be66465a4a432c79086a5870962811de943042c948ab1c91a1881

Observation 292c6ebc-1247-4f03-8de3-0520a880c77c · inbound

A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra cites this paper.

A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra $\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-15T22:15:57.817587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:15:57.817587Z digest=sha256:e9a2ae2adfbee372b8e379e6fb5990fdb4253be0e0760812787de3ec35bb56a9

Observation c397cbd0-869e-4bc4-8e68-b591891fab5b · inbound

Graded Casimir Elements and Central Extensions of Color Lie Algebras cites this paper.

Graded Casimir Elements and Central Extensions of Color Lie Algebras $\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:20:58.670197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T17:40:45.739217Z digest=sha256:fff06fb2456683928f607612ff29150f9e4a34b1fdeb1552c37af5ea14dd521a