A Construction of Pseudo-reductive Groups with Non-reduced Root Systems

IF 0.4 3区数学 Q4 MATHEMATICS Transformation Groups Pub Date : 2024-02-24 DOI:10.1007/s00031-024-09843-6

Michael Bate, Gerhard Röhrle, Damian Sercombe, David I. Stewart

引用次数: 0

Abstract

We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type $BC_n$; these exist only in characteristic 2. We also give a formula for the dimensions of their irreducible modules.

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构建具有非还原根系统的伪还原群

我们描述了具有 $BC_n$ 型不可还原根系统的极小型伪分裂绝对伪简单群的直接构造；这些群只存在于特征 2 中。我们还给出了它们的不可还原模块的维数公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.

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