A New Approach to Braided T-Categories and Generalized Quantum Yang–Baxter Equations

Autor:	Senlin Zhang, Shuanhong Wang
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	braided T-category quantum Yang–Baxter equation Hopf (non)coassociative group-algebra quasitriangular Hopf (non)coassociative π-algebra Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 6, p 968 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10060968
Popis:	We introduce and study a large class of coalgebras (possibly (non)coassociative) with group-algebraic structures Hopf (non)coassociative group-algebras. Hopf (non)coassociative group-algebras provide a unifying framework for classical Hopf algebras and Hopf group-algebras and Hopf coquasigroups. We introduce and discuss the notion of a quasitriangular Hopf (non)coassociative π-algebra and show some of its prominent properties, e.g., antipode S is bijective. As an application of our theory, we construct a new braided T-category and give a new solution to the generalized quantum Yang–Baxter equation.
Databáze:	Directory of Open Access Journals
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