Equating decomposition numbers for different primes

Details Equating decomposition numbers for different primes Equating decomposition numbers for different primes

2001-11-12

arxiv.org/abs/math/0111140v2

Mathematics

Representation Theory

13 pages. LaTeX2e + pstricks

Scientific paper

This paper shows that certain decomposition numbers for the Hecke algebras
and q-Schur algebras at different roots of unity in characteristic zero are
equal. To prove our results we first establish the corresponding theorem for
the canonical basis of the level one Fock space and then apply deep results of
Ariki and Varagnolo and Vasserot.

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