广义Taft Hopf代数的伴随表示

The adjoint representations of generalized Taft Hopf algebras

摘要:

广义Taft Hopf代数Hn,d 在伴随作用下为Hn,d -模. 本文给出了该模所有不可分解子模以及该模的以不可分解子模为直和项的直和分解, 并利用Hn,d 的伴随作用给出了Hn,d 的Killing型矩阵以及Killing根.

Abstract:

The generalized Taft Hopf algebra Hn,d is an Hn,d -module under the ad- joint actions. In this paper all submodules of such a module are presented, and a decomposition of such a module into indecomposable direct summands is given. Al- so, the adjoint actions of Hn,d on itself are used to present the Killing matrix and the Killing radical of Hn,d .