Intersecting two classical groups

JOURNAL OF ALGEBRA

卷:353

Article

Brooksbank, Peter A.¹  Wilson, James B.² 

[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

[2] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA

关键词: *-Algebra;    Bilinear map;    Isometry group;    Polynomial-time algorithm;   

DOI  :  10.1016/j.jalgebra.2011.12.004

来源: Elsevier

【 摘 要 】

A new algorithm is presented to compute the algebra of adjoints associated to a pair of forms on a common finite vector space. This algebra is used in several recent and ongoing projects to study central products, intersections of classical groups, and automorphism groups. The implementation of the new algorithms in MAGMA greatly outperforms its predecessor and hence, in restricted yet important settings, increases the practicality of the various algorithms that use adjoint algebras. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free