论文标题
某些有限伪反射组的模块化不变性
Modular Invariants for Some Finite Pseudo-Reflection Groups
论文作者
论文摘要
在本文中，我们确定有限的通用线性组$ \ text {gl} _n（q）$的有限模块化伪反射子组的模块化不变符，作用于对称代数$ s^{\ bulter}（\ buleart}（v）$ $ \ $ \ wedge $ wedge^wew^wew^wew^wew^^{ \ text {gl} _n（q）$ -MODULE $ V $。我们对$ g $是$ \ text {gl} _n（q）$的抛物线子组的子组的情况特别感兴趣，这是weyl of cartan type lie代数的概括。
In this paper, we determine the modular invariants of finite modular pseudo-reflection subgroups of the finite general linear group $ \text{GL}_n(q) $ acting on the tensor product of the symmetric algebra $ S^{\bullet}(V) $ and the exterior algebra $ \wedge^{\bullet}(V) $ of the natural $ \text{GL}_n(q) $-module $ V $. We are particularly interested in the case where $ G $ is a subgroup of the parabolic subgroups of $ \text{GL}_n(q) $ which is a generalization of Weyl group of Cartan type Lie algebra.
