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arXiv 1609.03492math.GR
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2类代数群与Weil character

Groups from class 2 algebras and the Weil character

Christakis A. Pallikaros, Harold N. Ward

摘要:

研究了辛群的Weil特征标在限制于第2类交换幂零代数的子群上的行为。我们给出了明确的描述分解的Weil字符时,限制到一个极大的全迷向子空间的稳定的幂幺根和它的中心化子。

英文摘要:

We investigate the behaviour of the Weil character of the symplectic group on restriction to subgroups arising from commutative nilpotent algebras of class 2. We give explicit descriptions of the decomposition of the Weil character when restricted to the unipotent radical of the stabilizer of a maximal totally isotropic subspace and to its centralizer.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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