Cohomology of sl3 and gl3 with Coefficients in Simple Modules and Weyl Modules in Positive Characteristics

IF 0.9 3区物理与天体物理 Q2 MATHEMATICS

Symmetry Integrability and Geometry-Methods and Applications Pub Date : 2022-03-30 DOI:10.3842/SIGMA.2022.026

S. Ibraev

引用次数: 1

Abstract

. We calculate the cohomology of sl 3 ( k ) over an algebraically closed ﬁeld k of characteristic p > 3 with coeﬃcients in simple modules and Weyl modules. We also give descriptions of the corresponding cohomology of gl 3 ( k ).

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单模中系数为sl3和gl3的上同调与正特性的Weyl模

.我们计算了在简单模和Weyl模中具有系数的特征p>3的代数封闭域k上的sl 3（k）的上同调。我们还给出了gl3（k）的相应上同调的描述。

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

Symmetry Integrability and Geometry-Methods and Applications 物理-物理：数学物理

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Scope Geometrical methods in mathematical physics Lie theory and differential equations Classical and quantum integrable systems Algebraic methods in dynamical systems and chaos Exactly and quasi-exactly solvable models Lie groups and algebras, representation theory Orthogonal polynomials and special functions Integrable probability and stochastic processes Quantum algebras, quantum groups and their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics Quantum gravity and cosmology.