论文标题
D型Demperley-Lieb代数的半动度
Semi-simplicity of Temperley-Lieb Algebras of type D
论文作者
论文摘要
我们通过研究细胞模块的分支规则,为D temperley-lieb代数$ {\ rm tld} _n(δ)$提供了必要的条件。作为副产品,我们的结果用于研究所谓的分叉temberley-lieb代数,这是$ {\ rm tld} _n(δ)$的商代数。
We provide a necessary and sufficient condition for a type D Temperley-Lieb algebra ${\rm TLD}_n(δ)$ being semi-simple by studying branching rule for cell modules. As a byproduct, our result is used to study the so-called forked Temperley-Lieb algebra, which is a quotient algebra of ${\rm TLD}_n(δ)$.