The <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="italic">GL</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-module structure of the symmetric algebra around the Steinberg module-Reference-Cited by-同舟云学术

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The GLn(q)-module structure of the symmetric algebra around the Steinberg module

Published:2011-07 Issue:4 Volume:227 Page:1562-1584
ISSN:0001-8708
Container-title:Advances in Mathematics
language:en
Short-container-title:Advances in Mathematics

Author:

Wan Jinkui,Wang Weiqiang

Publisher

Elsevier BV

Subject

General Mathematics

Reference19 articles.

1. Projective modules for finite Chevalley groups;Ballard;Trans. Amer. Math. Soc.,1978

2. Poincaré series for the occurrence of certain modular representations of GL(n,p) in the symmetric algebra;Carlisle;Proc. Roy. Soc. Edinburgh Sect. A,1989

3. Projective characters for finite Chevalley groups;Chastkofsky;J. Algebra,1981

4. A fundamental system of invariants of the general modular linear group with a solution of the form problem;Dickson;Trans. Amer. Math. Soc.,1911

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the action of the Iwahori–Hecke algebra on modular invariants;Communications in Algebra;2019-01-11

2. Decomposition of Tensor Products Involving a Steinberg Module;Algebras and Representation Theory;2017-02-22

3. A tensor product of the Steinberg module and a certain simplekG(pr)-module;Communications in Algebra;2016-10-11

4. Extensions for finite Chevalley groups III: Rational and generic cohomology;Advances in Mathematics;2014-09

5. On the Vanishing Ranges for the Cohomology of Finite Groups of Lie Type;International Mathematics Research Notices;2011-06-30

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