论文标题
Gelfand-Tsetlin模块的GL（N，M）
Gelfand-Tsetlin modules for gl(n,m)
论文作者
论文摘要
我们解决了对GL（M | n）不可减少的Gelfand-Tsetlin模块分类的问题，并表明它减少了偶数部分的Gelfand-Tsetlin模块的分类。我们还提供了明确的tableaux结构以及典型和准价协变量的Gelfand-tsetlin模块的类别类别的不可约性标准，其中包括所有本质上典型和协变量的张量有限尺寸模块。在准典型情况下，新的不可约表示为无限的尺寸GL（M | n）模块，它们与抛物面诱导的（KAC）模块是同构的。
We address the problem of classifying of irreducible Gelfand-Tsetlin modules for gl(m|n) and show that it reduces to the classification of Gelfand-Tsetlin modules for the even part. We also give an explicit tableaux construction and the irreducibility criterion for the class of quasi typical and quasi covariant Gelfand-Tsetlin modules which includes all essentially typical and covariant tensor finite dimensional modules. In the quasi typical case new irreducible representations are infinite dimensional gl(m|n)-modules which are isomorphic to the parabolically induced (Kac) modules.
