二面体群的量子偶表示
The Representations of Quantum Double of Dihedral Groups
摘要：
设$k$是奇特征$p$的代数闭域，$D_n$是$2n$阶二面体群，使得$p\mid 2n$ .令$D(kD_n)$表示群代数$kD_n$的量子双。本文刻画了有限维不可分解左$D(kD_n)$ -模的结构，等价地刻画了有限维不可分解Yetter-Drinfeld $kD_n$ -模的结构，并对它们进行了分类.
英文摘要：
Let $k$ be an algebraically closed field of odd characteristic $p$, and let $D_n$ be the dihedral group of order $2n$ such that $p\mid 2n$. Let $D(kD_n)$ denote the quantum double of the group algebra $kD_n$. In this paper, we describe the structures of all finite dimensional indecomposable left $D(kD_n)$-modules, equivalently, of all finite dimensional indecomposable Yetter-Drinfeld $kD_n$-modules, and classify them.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
