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

Zhongwei Wang, and Liangyun Zhang. "The duality theorem for twisted smash products of Hopf algebras and its applications." Colloquium Mathematicae 141.1 (2015): 25-44. <http://eudml.org/doc/283976>.

@article{ZhongweiWang2015,
abstract = {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.},
author = {Zhongwei Wang, Liangyun Zhang},
journal = {Colloquium Mathematicae},
keywords = {Hopf algebras; twisted smash products; duality theorems; homological dimensions},
language = {eng},
number = {1},
pages = {25-44},
title = {The duality theorem for twisted smash products of Hopf algebras and its applications},
url = {http://eudml.org/doc/283976},
volume = {141},
year = {2015},
}

TY - JOUR
AU - Zhongwei Wang
AU - Liangyun Zhang
TI - The duality theorem for twisted smash products of Hopf algebras and its applications
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 1
SP - 25
EP - 44
AB - 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.
LA - eng
KW - Hopf algebras; twisted smash products; duality theorems; homological dimensions
UR - http://eudml.org/doc/283976
ER -