Pith. Sign in

RECORD

Cohomology of Conformal Algebras

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
Bojko Bakalov, Victor G. Kac, Alexander A. Voronov

Quantum Algebra · Submitted 7 Mar 1998

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In the present paper we develop a cohomology theory of conformal algebras with coefficients in an arbitrary module.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv IDmath/9803022 (version 2)
Pith IDJJDKWB5Y, Pith's permanent record of this paper and its review
CitationAlexander A. Voronov, Bojko Bakalov, Victor G. Kac. "Cohomology of Conformal Algebras." arXiv:math/9803022 (1998). https://pith.science/paper/JJDKWB5Y
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,799 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Conformal algebra is an axiomatic description of the operator product expansion of chiral fields in conformal field theory. On the other hand, it is an adequate tool for the study of infinite-dimensional Lie algebras satisfying the locality property. The main examples of such Lie algebras are those ``based'' on the punctured complex plane, like the Virasoro algebra and loop algebras. In the present paper we develop a cohomology theory of conformal algebras with coefficients in an arbitrary module. It possesses standard properties of cohomology theories; for example, it describes extensions and deformations. We offer explicit computations for most of the important examples.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Conformal algebra is an axiomatic description of the operator product expansion of chiral fields in conformal field theory. background 1.00 0.04 0.03 asserted 1.00
s1 On the other hand, it is an adequate tool for the study of infinite-dimensional Lie algebras satisfying the locality property. background 1.00 0.07 0.03 asserted 1.00
s2 The main examples of such Lie algebras are those ``based'' on the punctured complex plane, like the Virasoro algebra and loop algebras. background 1.00 0.05 0.02 asserted 1.00
s3 In the present paper we develop a cohomology theory of conformal algebras with coefficients in an arbitrary module. contribution 1.00 0.95 0.35 asserted 1.00
s4 It possesses standard properties of cohomology theories; for example, it describes extensions and deformations. result 0.63 0.57 0.16 asserted 0.99
s5 We offer explicit computations for most of the important examples. contribution 0.71 0.94 0.19 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.69 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Conformal algebra is an axiomatic description of the operator product expansion of chiral fields in conformal field theory. On the other hand, it is an adequate tool for the study of infinite-dimensional Lie algebras satisfying the locality property. The main examples of such Lie algebras are those ``based'' on the punctured complex plane, like the Virasoro algebra and loop algebras. In the present paper we develop a cohomology theory of conformal algebras with coefficients in an arbitrary module. It possesses standard properties of cohomology theories; for example, it describes extensions and deformations. We offer explicit computations for most of the important examples.

Human review

How Pith checks papers → · Full audit of this paper →

References

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.