|
|
| |
| On Smash Products of Transitive Module Algebras |
| |
Citation： |
Caihong WANG,Shenglin ZHU.On Smash Products of Transitive Module Algebras[J].Chinese Annals of Mathematics B,2010,31(4):541~554 |
| Page view： 1740
Net amount： 1184 |
Authors： |
Caihong WANG; Shenglin ZHU; |
Foundation： |
the National Natural Science Foundation of China (No. 10731070). |
|
|
| Abstract： |
Let H be a semisimple Hopf algebra over a field of characteristic 0, and A
a finite-dimensional transitive H-module algebra with a 1-dimensional ideal. It is proved
that the smash product A#H is isomorphic to a full matrix algebra over some right coideal
subalgebra N of H. The correspondence between A and such N and the special case
A = k(X) of function algebra on a finite set X are considered. |
Keywords： |
Semisimple Hopf algebra, Smash product, Transitive module algebra |
Classification： |
16W30 |
|
|
Download PDF Full-Text
|
