Constructing New Braided T-Categories via Weak Monoidal Hom-Hopf Algebras

2015/02/26 by Wei Wang, Wang, Wei, Shuanhong Wang +3 · 1 citation
Mathematics · #16T15 #16W30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA #msc:16T15 #msc:16W30

paper · pdf · doi:10.48550/arxiv.1502.07377

24 pages. arXiv admin note: substantial text overlap with arXiv:1405.6767

arxiv created 2015/02/26 · openalex publication_date 2015/02/26 · arxiv updated 2015/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we define and study weak monoidal Hom-Hopf algebras, which generalize both weak Hopf algebras and monoidal Hom-Hopf algebras. If H is a weak monoidal Hom-Hopf algebra with bijective antipode and let Aut_wmHH(H) be the set of all automorphisms of H. Then we introduce a category _HWMHYD^H(α,β) with α,β∈ Aut_wmHH(H) and construct a braided T-category WMHYD(H) that having all the categories _HWMHYD^H(α,β) as components.

Cited by

• New Braided T-Categories over Hopf (co)quasigroups

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