The exterior and symmetric square of the reflection representation of An(q) and Dn(q)

JOURNAL OF ALGEBRA

卷:288

Article

Kable, AC ; Sanat, N

关键词: orthogonal group;    reflection representation;    exterior square;    symmetric square;    Howe correspondence;   

DOI  :  10.1016/j.jalgebra.2005.02.004

来源: Elsevier

【 摘 要 】

We decompose the exterior and symmetric square of the reflection representation of the groups GL(n) and SO+(2m) over a finite field of odd characteristic. As a byproduct of the method, we confirm a new case (r = 2, m >=, 4) of a conjecture of Aubert, Michel and Rouquier describing the unipotent part of the Howe correspondence between Sp(2r) and SO+(2m). (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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