Weight 2 blocks of general linear groups and modular Alvis-Curtis duality

Details Weight 2 blocks of general linear groups and modular Alvis-Curtis duality Weight 2 blocks of general linear groups and modular Alvis-Curtis duality

2007-05-11

arxiv.org/abs/0705.1597v2

Mathematics

Representation Theory

27 pages; to appear in Int. Math. Res. Not

Scientific paper

We obtain the structure of weight 2 blocks and [2:1]-pairs of q-Schur
algebras, and compute explicitly the modular Alvis-Curtis duality for weight 2
blocks of finite general linear groups in non-defining characteristic.

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