SL(2，𝑞)表示的Stiefel-Whitney类

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2023-02-28 DOI:10.1515/jgth-2022-0164

Neha Malik, S. Spallone

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引用次数: 2

摘要

摘要描述了有限特殊线性群G= SL (2, F q) G=\operatorname{SL}(2，\mathbb{F}_{q})的正交表示的Stiefel-Whitney类(SWCs)。从这个计算中，我们可以回答一些关于量子力学的有趣问题。例如，我们确定了正交SWCs生成的H * * (G, Z /2) H^{*}(G，\mathbb{Z}/2\mathbb{Z})的子代数，并确定了哪些是非平凡模2欧拉类。

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Stiefel–Whitney classes of representations of SL(2, 𝑞)

Abstract We describe the Stiefel–Whitney classes (SWCs) of orthogonal representations 𝜋 of the finite special linear groups G = SL ⁡ ( 2 , F q ) G=\operatorname{SL}(2,\mathbb{F}_{q}) , in terms of character values of 𝜋. From this calculation, we can answer interesting questions about SWCs of 𝜋. For instance, we determine the subalgebra of H * ⁢ ( G , Z / 2 ⁢ Z ) H^{*}(G,\mathbb{Z}/2\mathbb{Z}) generated by the SWCs of orthogonal 𝜋, and we also determine which 𝜋 have non-trivial mod 2 Euler class.

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来源期刊

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory