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Restrictions of
Ωm(q)-modules to alternating groups
William J. Husen |
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Vol. 192 (2000), No. 2, 297–306
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Abstract |
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We consider the restriction of an irreducible FΩm(q)-module M to a subgroup H where F∗(H)≅An and where F is algebraically closed with (char(F),q)≠1. Given certain restrictions on the highest weight of M, we show that if m > n6, then M↓H is reducible. |
Milestones
Received: 16 June 1998
Revised: 11 November 1998
Published: 1 February 2000
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Authors |
| William J. Husen | |
| Ohio State University Columbus, OH 43210 |
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