Set-theoretic Yang-Baxter (co)homology theory of involutive non-degenerate solutions
Autor: | Przytycki, Józef H., Vojtěchovský, Petr, Yang, Seung Yeop |
---|---|
Rok vydání: | 2019 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | W. Rump showed that there exists a one-to-one correspondence between involutive right non-degenerate solutions of the Yang-Baxter equation and Rump right quasigroups. J. S. Carter, M. Elhamdadi, and M. Saito, meanwhile, introduced a homology theory of set-theoretic solutions of the Yang-Baxter equation in order to define cocycle invariants of classical knots. In this paper, we introduce the normalized homology theory of an involutive right non-degenerate solution of the Yang-Baxter equation and prove that the set-theoretic Yang-Baxter homology of certain solutions can be split into the normalized and degenerated parts. Comment: 14 pages, 6 figures |
Databáze: | arXiv |
Externí odkaz: |