Cross characteristic representations of even characteristic symplectic groups

被引：47

作者：

Guralnick, RM ^{[1
]}

Tiep, PH

机构：

[1] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 12期

关键词：

finite symplectic group; Weil representation; cross characteristic representation; low dimensional representation;

D O I：

10.1090/S0002-9947-04-03477-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the small irreducible representations of Sp(2n)(q) with q even in odd characteristic. This improves even the known results for complex representations. The smallest representation for this group is much larger than in the case when q is odd. This makes the problem much more difficult.

引用

页码：4969 / 5023

页数：55

共 39 条

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