On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups
Research output: Contribution to journal › Article › peer-review
Authors
Colleges, School and Institutes
External organisations
- Section de Mathématiques, MATHGEOM
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.
Details
Original language | English |
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Pages (from-to) | 1427-1446 |
Number of pages | 20 |
Journal | Journal of Pure and Applied Algebra |
Volume | 217 |
Issue number | 8 |
Early online date | 4 Jan 2013 |
Publication status | Published - 1 Aug 2013 |