Weights for classical groups

An, Jian Bei

doi:10.1090/S0002-9947-1994-1136543-7

Weights for classical groups
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by Jian Bei An

Trans. Amer. Math. Soc. 342 (1994), 1-42

DOI: https://doi.org/10.1090/S0002-9947-1994-1136543-7

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Abstract:

This paper proves the Alperin’s weight conjecture for the finite unitary groups when the characteristic r of modular representation is odd. Moreover, this paper proves the conjecture for finite odd dimensional special orthogonal groups and gives a combinatorial way to count the number of weights, block by block, for finite symplectic and even dimensional special orthogonal groups when r and the defining characteristic of the groups are odd.

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On blocks and sections

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Weights for classical groups
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Abstract: