Small-dimensional projective representations of symmetric and alternating groups

被引：9

作者：

Kleshchev, Alexander S. ^{[1
]}

Pham Huu Tiep ^{[2
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[2] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

ALGEBRA & NUMBER THEORY | 2012年 / 6卷 / 08期

基金：

美国国家科学基金会;

关键词：

double covers of symmetric groups; modular representation theory; CROSS CHARACTERISTIC REPRESENTATIONS; MODULAR SPIN REPRESENTATIONS; MINIMAL DEGREES; RESTRICTIONS;

D O I：

10.2140/ant.2012.6.1773

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the irreducible projective representations of symmetric and alternating groups of minimal possible and second minimal possible dimensions, and get a lower bound for the third minimal dimension. On the way we obtain some new results on branching which might be of independent interest.

引用

页码：1773 / 1816

页数：44

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