2-dimensional self-distributive non-counital bialgebras and knot invariants

Alexander S. Panasenko; Dmitry V. Talalaev; Tatiana A. Kozlovskaya; Valeriy G. Bardakov

REVIEW

2-dimensional self-distributive non-counital bialgebras and knot invariants

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 2502.16875 v1 pith:GYWCQTPT submitted 2025-02-24 math.QA math.GR

Valeriy G. Bardakov , Tatiana A. Kozlovskaya , Alexander S. Panasenko , Dmitry V. Talalaev This is my paper · ORCID

classification math.QAmath.GR

keywords bialgebrasself-distributivealgebrasclassificationdimensionalinvariantsknotnon-counital

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

In the preprint of V. Bardakov, T. Kozlovskaya, D. Talalaev (Self-distributive bialgebras, arXiv:2501.19152) it was formulated a problem of classification of self-distributive bialgebras and was given classification of two-dimensional counital self-distributive bialgebras. In this paper, we consider non-counital case. We find all 2-dimensional algebras of this type. In constructed algebras we study the question of finding quandles for constructing knot invariants. This activity is part of the overall program for the linearization of the concepts of rack and quandle and the development of the representations theory of these structures.

Discussion (0). Continue with ORCID to comment.

Pith tools