On unified Hom-Yetter-Drinfeld categories

DOI10.1016/j.geomphys.2019.05.015zbMath1462.17023OpenAlexW2949089199MaRDI QIDQ2274419

Quan-guo Chen, Tianshui Ma, Hai-yan Yang, Lin Lin Liu

Publication date: 19 September 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2019.05.015

zbMATH Keywords

symmetryHom-Lie algebrapseudosymmetry(co)triangular Hom-Hopf algebraunified Hom-Yetter-Drinfeld category

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Hopf algebras, quantum groups and related topics (16T99) Associative rings and algebras with additional structure (16W99) Hom-Lie and related algebras (17B61)

Related Items (8)

Hom-Yang-Baxter equations and Hom-Yang-Baxter systems ⋮ The Hom-Long dimodule category and nonlinear equations ⋮ Drinfeld double for infinitesimal BiHom-bialgebras ⋮ Radford (m, n)-biproduct and (m+n)-Yetter-Drinfeld category ⋮ Quasitriangular covariant monoidal BiHom-bialgebras, associative monoidal BiHom-Yang–Baxter equations and Rota–Baxter paired monoidal BiHom-modules ⋮ Coquasitriangular infinitesimal BiHom-bialgebras and related structures ⋮ Lazy 2-cocycle and Radford (m,n)-biproduct ⋮ Matching Rota-Baxter BiHom-algebras and related algebraic structures

Cites Work

• Unnamed Item
• Unnamed Item
• Hom-Lie 2-algebras
• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• A new approach to hom-Lie bialgebras
• The group of braided autoequivalences of the category of comodules over a coquasi-triangular Hopf algebra
• On the Drinfeld center of the category of comodules over a co-quasitriangular Hopf algebra
• Double biproduct Hom-bialgebra and related quasitriangular structures
• On hom-algebras with surjective twisting
• Hom-Lie superalgebras and Hom-Lie admissible superalgebras
• Representations of hom-Lie algebras
• Pseudosymmetric braidings, twines and twisted algebras.
• Determinants and symmetries in `Yetter-Drinfeld' categories
• The construction and deformation of BiHom-Novikov algebras
• On split regular Hom-Lie superalgebras
• On split regular BiHom-Lie superalgebras
• Symmetric Yetter-Drinfeld categories are trivial
• Deformations of Lie algebras using \(\sigma\)-derivations
• Some results on Rota-Baxter monoidal Hom-algebras
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• General Hom–Lie algebra
• Parachain Complexes and Yetter–Drinfeld Modules
• TWISTING OPERATORS, TWISTED TENSOR PRODUCTS AND SMASH PRODUCTS FOR HOM-ASSOCIATIVE ALGEBRAS
• Hom–Lie Algebras in Yetter–Drinfeld Categories
• A construction of the Hom-Yetter–Drinfeld category
• An extended form of Majid’s double biproduct
• Hom–Novikov algebras
• Monoidal Hom–Hopf Algebras
• Hom-quantum groups: I. Quasi-triangular Hom-bialgebras
• $(m, n)$-Hom-Lie algebras
• Symmetries and the u-condition in Hom-Yetter-Drinfeld categories
• On Radford Biproduct
• ON THE GENERALIZED H-LIE STRUCTURE OF ASSOCIATIVE ALGEBRAS IN YETTER-DRINFELD CATEGORIES
• Hom-L-R-smash biproduct and the category of Hom–Yetter–Drinfel’d–Long bimodules
• Symmetries of (m,n)-Yetter–Drinfeld categories
• Universal enveloping algebras and Poincar\'e-Birkhoff-Witt theorem for involutive Hom-Lie algebras
• The crossed structure of Hopf bimodules
• BRAIDED MIXED DATUMS AND THEIR APPLICATIONS ON HOM-QUANTUM GROUPS
• ON CROSSED DOUBLE BIPRODUCT
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Symmetric pairs and pseudosymmetries in Hom-Yetter–Drinfeld categories
• Symmetry and pseudosymmetry of v-Yetter–Drinfeld categories for Hom–Hopf algebras
• Cobraided smash product Hom-Hopf algebras
• Rota–Baxter Hom-Lie–Admissible Algebras
• Yetter-Drinfeld modules for Hom-bialgebras
• The category of Yetter-Drinfel'd Hom-modules and the quantum Hom-Yang-Baxter equation

This page was built for publication: On unified Hom-Yetter-Drinfeld categories