Algorithms in Linear Algebraic Groups

被引：0
|
作者：
Sushil Bhunia
Ayan Mahalanobis
Pralhad Shinde
Anupam Singh
机构：
[1] IISER Mohali,
[2] IISER Pune,undefined
来源：
Advances in Applied Clifford Algebras | 2020年 / 30卷
关键词：
Symplectic similitude group; Orthogonal similitude group; Word problem; Gaussian elimination; Spinor norm; Double coset decomposition; Primary 11E57; 15A21; Secondary 20G05; 15A66;
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摘要：
This paper presents some algorithms in linear algebraic groups. These algorithms solve the word problem and compute the spinor norm for orthogonal groups. This gives us an algorithmic definition of the spinor norm. We compute the double coset decomposition with respect to a Siegel maximal parabolic subgroup, which is important in computing infinite-dimensional representations for some algebraic groups.
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