论文标题
$ a_ {n-1} $的经典谎言代数的分支多面体
Branching polytopes for classical Lie algebras over $A_{n-1}$
论文作者
论文摘要
我们使用电感方法描述了$ a_ {n-1} $的经典类型的谎言代数的分支，这是由Gornitskii的工作激发的。这使我们能够通过字符串或lusztig polytope的晶格限制有限维的简单模块限制到$ a_ {n-1} $的限制到$ a_ {n-1} $的限制中的最高权重向量。
We describe the branching of Lie algebras of classical type over $A_{n-1}$ using an inductive approach, which was motivated by the work of Gornitskii. This allows us to label the highest weight vectors of the modules occurring in the decomposition of the restriction of a finite-dimensional simple module to $A_{n-1}$ by lattice points of a string or a Lusztig polytope.
