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Some decomposition numbers for Hecke algebras of general linear groups

Published online by Cambridge University Press:  24 October 2008

Matthew J. Richards
Matthew J. Richards
Affiliation:
Department of Mathematics, Imperial College, London, SW7 2BZ
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Extract

The theorem which is still known as Nakayama's Conjecture shows how the modular characters of the symmetric group Sn can be divided into blocks of various weights, those with the same weight having similar properties. In fact, all blocks of weight one have essentially the same decomposition numbers and these are easy to describe. In recent work, Scopes [16, 17] has shown that there are essentially only finitely many possibilities for the decomposition numbers for blocks of any given weight, and has given a bound for the number. We develop the combinatorics implicit in her work, and so establish an improved bound.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 3 , April 1996 , pp. 383 - 402
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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