论文标题
几乎字符的有限theta对应
Finite Theta Correspondence of Almost Characters
论文作者
论文摘要
Lusztig提出了几乎与性格束系密切相关的特征理论，以研究有限还原群体的表示理论。在本文中，我们表明，有限的还原双对$（\ sp_ {2n}，\ rmo^\ pm_ {2n'}）$或$（\ sp_ {2n}，\ so_ so_ so_ {2n'+1}）$与字符相同的字符与decompts Irred完全相同。结果，几乎建立了关于字符的有限theta对应。
The theory of almost characters which is closely related to character sheaves is proposed by Lusztig to study the representation theory of finite reductive groups. In this article we show that the decomposition of the Weil character for finite reductive dual pairs $(\Sp_{2n},\rmO^\pm_{2n'})$ or $(\Sp_{2n},\SO_{2n'+1})$ with respect to the almost characters is exactly the same as the decomposition with respect to the irreducible characters. As a consequence, the finite theta correspondence on almost characters is established.
