辛群不可约表示中秩$$2 $$子系统辛子群正则单元象的块结构。3。

Siberian Advances in Mathematics Pub Date : 2021-06-06 DOI:10.1134/s1055134421020024

T. S. Busel, I. D. Suprunenko

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引用次数: 0

摘要

本文的最后一部分研究了$p$中$C_2 $型子系统子群正则酉元图像中的Jordan块的尺寸——特征$p\geq 11 $中$C_n$型群局部最高权较小的受限不可约表示。在这里，我们研究了$n>3 $的情况，以及考虑到包含这样一个元素的权重不小于$p$的类型为$A_1$的正则子群的表示的限制。

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The Block Structure of the Images of Regular Unipotent Elements from Subsystem Symplectic Subgroups of Rank $$2 $$ in Irreducible Representations of Symplectic Groups. III

Abstract

This is the final part of the paper on the dimensions of Jordan blocks in the images of regular unipotent elements from subsystem subgroups of type $C_2 $ in $p$-restricted irreducible representations of groups of type $C_n$ in characteristic $p\geq 11 $ with locally small highest weights. Here the case where $n>3 $ and the restriction of a representation considered to a canonical subgroup of type $A_1$ containing such element has a weight not less than $p$, is investigated.

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来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.