The duality theorem for twisted smash products of Hopf algebras and its applications

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

Abstrakty

EN

Let $A #_{T} H$ denote the twisted smash product of an arbitrary algebra A and a Hopf algebra H over a field. We present an analogue of the celebrated Blattner-Montgomery duality theorem for $A #_{T} H$, and as an application we establish the relationship between the homological dimensions of $A #_{T} H$ and A if H and its dual H* are both semisimple.

Kategorie tematyczne

• 16S30: Universal enveloping algebras of Lie algebras \SeeMainly{}
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 1
• Strony: 25-44

Daty

wydano

2015

Twórcy

autor

Zhongwei Wang

• Department of Basic Science, Jinling Institute of Technology, Nanjing 210069, P.R. China

autor

Liangyun Zhang

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

Identyfikatory

DOI

10.4064/cm141-1-3