Pith. sign in

REVIEW 2 cited by

Classical Yang-Baxter equations and Nijenhuis operators for Lie algebras

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2502.18717 v3 pith:3EMFNQ3P submitted 2025-02-26 math.RA

Haiying Li , Tianshui Ma This is my paper · ORCID
classification math.RA
keywords nijenhuisoperatorsalgebraalgebrasclassicalyang-baxterbasisbialgebraic
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper the conditions that when a Lie algebra is Nijenhuis are investigated. Furthermore all the Nijenhuis operators on $\mathfrak{sl}_2$ under the standard Cartan-Weyl basis are given. On the other hand, the relations between the classical Yang-Baxter equation and Nijenhuis operators $N$ on a Lie algebra and $P$ on a Lie coalgebra are derived by means of the bialgebraic theory for Nijenhuis Lie algebras.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nijenhuis pre-Lie bialgebras, Nijenhuis Lie bialgebras and \sss-equation

    math.QA 2025-08 conditional novelty 6.0 of 10

    A Nijenhuis pre-Lie bialgebra framework is introduced, connecting Nijenhuis operators on pre-Lie algebras to S-equations, O-operators, and ultimately to Nijenhuis Lie bialgebras.

  2. Bialgebras induced by special left Alia algebras

    math.RA 2025-06 conditional novelty 6.0 of 10

    Nijenhuis left Alia bialgebras are defined, and Nijenhuis commutative cocommutative associative D-bialgebras are shown to induce Nijenhuis special left Alia bialgebras.

Pith tools