THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES Bn AND Dn TO SUBGROUPS OF TYPE A2

Anna A. Osinovskaya

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THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES Bn AND Dn TO SUBGROUPS OF TYPE A2

机译：Bn和DN类型代数组的表示的限制为A2型亚组

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摘要

Restrictions of modular p-restricted representations of algebraic groups of types Bn (n > 2) and Dn (n > 3) to naturally embedded subgroups of type Ai are studied. The composition factors of such restrictions are determined in the case of locally small highest weights. Here the class of locally small weights depends upon the type of a group considered and is defined in terms of their values on four simple roots linked at the Dynkin diagram of a group.

机译：研究了BN（N> 2）和DN（N> 3）的代数基团的模块化P限制表示对天然嵌入式AI的亚组的限制。在局部小的最高重量的情况下确定这种限制的组成因子。这里，局部小权重的类取决于所考虑的组的类型，并且在它们在组的Dynkin图中连接的四个简单根部的值来定义。

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《Journal of algebra and its applications》 |2005年第5期|共13页
作者
Anna A. Osinovskaya;
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作者单位

Institute of Mathematics National Academy of Sciences of Belarus Surganova 11 Minsk 220072 Belarus;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Algebraic groups; representations; restrictions to subgroups;

机译：代数组;代表;限制亚组;

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1. THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES Bn AND Dn TO SUBGROUPS OF TYPE A2 [J] . Anna A. Osinovskaya Journal of algebra and its applications . 2005,第5期

机译：Bn和DN类型代数组的表示的限制为A2型亚组
2. Restrictions of representations of algebraic groups of types E-n and F-4 to naturally embedded A(1)-subgroups and the behavior of root elements [J] . Osinovskaya AA Communications in algebra . 2005,第1期

机译：E-n和F-4类型的代数群的表示对自然嵌入的A（1）-子群的限制和根元素的行为
3. THE RESTRICTIONS OF REPRESENTATIONS OF THE SPECIAL LINEAR GROUP TO SUBSYSTEM SUBGROUPS OF TYPE A_2 [J] . A. A. Osinovskaya Journal of Mathematical Sciences . 2018,第2期

机译：特殊线性群表示对A_2型子系统子群的约束
4. Analysis of correlation between A2 mating type and DNA polymorphisms of Phytophthora infestans using RAPD assay [C] . ZHU Jie-hua, WU Ning-feng Asian conference on plant pathology . 2000

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5. The Rectangular Representation of the Rational Cherednik Algebra of Type A [D] . Shin, Gicheol. 2018

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6. Removal of a frameshift between the hsdM and hsdS genes of the EcoKI Type IA DNA restriction and modification system produces a new type of system and links the different families of Type I systems [O] . Gareth A. Roberts, Kai Chen, Laurie P. Cooper, 2012

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7. Properties of the g-Invariant Bilinear Form on the Spin Representations of the Simple Lie Algebras of Type Dn and Bn [O] . Lonzinsky Sergey 2013

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THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES Bn AND Dn TO SUBGROUPS OF TYPE A2

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