RECOGNITION OF SMALL DIMENSIONAL REPRESENTATIONS OF GENERAL LINEAR GROUPS

被引：5

作者：

Magaard, Kay ^{[2
]}

O'Brieno, E. A. ^{[1
]}

Seress, Akos ^{[3
]}

机构：

[1] Univ Auckland, Dept Math, Auckland 1, New Zealand

[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

[3] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 85卷 / 02期

基金：

美国国家科学基金会;

关键词：

matrix recognition project; symmetric square; alternating square adjoint representation;

D O I：

10.1017/S144678870800092X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be isomorphic to a group H satisfying SL(d, q) <= H <= GL(d, q) and let W be an irreducible F(q)G-module of dimension at most d(2). We present a Las Vegas polynomial-time algorithm which takes as input W and constructs a d-dimensional projective representation of G.

引用

页码：229 / 250

页数：22

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