经典类型旋量Weyl群的余不变代数与伪次数
表示论
2014-01-31 v2 组合数学
摘要
Weyl群的余不变代数在数学的多个领域中起着基础性作用。伪次数是Weyl群的不可约模在其余不变代数中的分次重数，由Steinberg、Lusztig和Beynon-Lusztig计算得出。在本文中，我们为每个Weyl群提出了旋量余不变代数的概念。然后我们计算了每个经典Weyl群的所有旋量伪次数，这些伪次数定义为旋量Weyl群的单模在旋量余不变代数中的分次重数。例外Weyl群的旋量伪次数将在续篇中给出。
引用
@article{arxiv.1207.0525,
title = {Coinvariant algebras and fake degrees for spin Weyl groups of classical type},
author = {Constance Baltera and Weiqiang Wang},
journal= {arXiv preprint arXiv:1207.0525},
year = {2014}
}
备注
v2, 39 pages, title modified (with "of classical type" added), the original version was split into two parts following editor's suggestion; this v2 is the part one (to appear in Math. Proc. Cambridge Philos. Soc.), with a sequel dealing with the exceptional type