Deformed commutators on comodule algebras over coquasitriangular Hopf algebras

• Autorzy: Zhongwei Wang , Guoyin Zhang , Liangyun Zhang
• Języki publikacji: EN

Abstrakty

EN

We construct quantum commutators on comodule algebras over coquasitriangular Hopf algebras, so that they are quantum group coinvariant and have the generalized antisymmetry and Leibniz properties. If the coquasitriangular Hopf algebra is additionally cotriangular, then the quantum commutators satisfy a generalized Jacobi identity, and turn the comodule algebra into a quantum Lie algebra. Moreover, we investigate the projective and injective dimensions of some Doi-Hopf modules over a quantum commutative comodule algebra.

Kategorie tematyczne

• 81R50: Quantum groups and related algebraic methods
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 139
• Numer: 2
• Strony: 165-183

Daty

wydano

2015

Twórcy

autor

Zhongwei Wang

• Department of Basic Sciences, Jinling Institute of Technology, Nanjing 211169, P.R. China

autor

Guoyin Zhang

• Department of Basic Sciences, Jinling Institute of Technology, Nanjing 211169, P.R. China

autor

Liangyun Zhang

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

Identyfikatory

DOI

10.4064/cm139-2-2