广义Toroidal李超代数的不可约可积表示

The Irredncible Integrable Representation of Generalized Toroidal Lie Superalgebra

首先定义了由基本典型李超代数构造的广义Toroidal李超代数,进而讨论其具有有限维权空间的不可约可积表示。我们得到,对于具有非零centralcharges的此类表示一定是平凡的。而centralcharges非零的表示则具有最高权空间。

We give the definition of the generalized Toroidal Lie superalgebras firstly, which constructed from the basic classical Lie superalgebras（finite-dimensional） ,then we discuss the irreducible integrable modules with finite-dimensional weight spaces. We prove that these modules must be trivial if they have non-zero central charges. And if the central charges are all zero,these modules have aso-called highest weight spaces.