On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups

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On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups. / Magaard, K.; Röhrle, G.; Testerman, D.M.

In: Journal of Pure and Applied Algebra, Vol. 217, No. 8, 01.08.2013, p. 1427-1446.

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@article{e68bc32bc59c4f2ea3e652c4708fdc94,
title = "On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups",
abstract = "Let W be a vector space over an algebraically closed field k. Let H be a quasisimple group of Lie type of characteristic p≠char(k) acting irreducibly on W. Suppose also that G is a classical group with natural module W, chosen minimally with respect to containing the image of H under the associated representation. We consider the question of when H can act irreducibly on a G-constituent of W and study its relationship to the maximal subgroup problem for finite classical groups.",
author = "K. Magaard and G. R{\"o}hrle and D.M. Testerman",
year = "2013",
month = aug,
day = "1",
doi = "10.1016/j.jpaa.2012.11.004",
language = "English",
volume = "217",
pages = "1427--1446",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier",
number = "8",

}

RIS

TY - JOUR

T1 - On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups

AU - Magaard, K.

AU - Röhrle, G.

AU - Testerman, D.M.

PY - 2013/8/1

Y1 - 2013/8/1

N2 - Let W be a vector space over an algebraically closed field k. Let H be a quasisimple group of Lie type of characteristic p≠char(k) acting irreducibly on W. Suppose also that G is a classical group with natural module W, chosen minimally with respect to containing the image of H under the associated representation. We consider the question of when H can act irreducibly on a G-constituent of W and study its relationship to the maximal subgroup problem for finite classical groups.

AB - Let W be a vector space over an algebraically closed field k. Let H be a quasisimple group of Lie type of characteristic p≠char(k) acting irreducibly on W. Suppose also that G is a classical group with natural module W, chosen minimally with respect to containing the image of H under the associated representation. We consider the question of when H can act irreducibly on a G-constituent of W and study its relationship to the maximal subgroup problem for finite classical groups.

UR - http://www.scopus.com/inward/record.url?partnerID=yv4JPVwI&eid=2-s2.0-84875116165&md5=a34fb15aff6a11d9e1096b868b7af32c

U2 - 10.1016/j.jpaa.2012.11.004

DO - 10.1016/j.jpaa.2012.11.004

M3 - Article

AN - SCOPUS:84875116165

VL - 217

SP - 1427

EP - 1446

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 8

ER -