论文标题
由惠特克模块引起的仿射谎言代数表示
Affine Lie algebras representations induced from Whittaker modules
论文作者
论文摘要
我们使用带有无限维李维因子的抛物线亚代质体的诱导来构建新的不可减至的代表家族，以用于任意仿射kac-moody代数。我们的第一个构造将函数定义为抛物线亚代词的LEVI因子的类别的函子，以寄生在Aggine Lie代数上的模块类别。第二个函子将模块的张量产物在Levi因子的仿射部分（尤其是任何重量模块）和惠特克模块上的惠森贝格亚级代数模块上发送到Aggine Lie代数模块上。当中央电荷为非零时，两个函子都可以保留不可约性。
We use induction from parabolic subalgebras with infinite-dimensional Levi factor to construct new families of irreducible representations for arbitrary Affine Kac-Moody algebra. Our first construction defines a functor from the category of Whittaker modules over the Levi factor of a parabolic subalgebra to the category of modules over the Affine Lie algebra. The second functor sends tensor products of a module over the affine part of the Levi factor (in particular any weight module) and of a Whittaker module over the complement Heisenberg subalgebra to the Affine Lie algebra modules. Both functors preserves irreducibility when the central charge is nonzero.
