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

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## Standard

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

Research output: Contribution to journal › Article › peer-review

## Harvard

*Journal of Pure and Applied Algebra*, vol. 217, no. 8, pp. 1427-1446. https://doi.org/10.1016/j.jpaa.2012.11.004

## APA

*Journal of Pure and Applied Algebra*,

*217*(8), 1427-1446. https://doi.org/10.1016/j.jpaa.2012.11.004

## Vancouver

## Author

## Bibtex

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## 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 -