Cellular structures on Hecke algebras of type B

Details Cellular structures on Hecke algebras of type B Cellular structures on Hecke algebras of type B

2007-12-21

arxiv.org/abs/0712.3662v3

Mathematics

Representation Theory

Scientific paper

The aim of this paper is to gather and (try to) unify several approaches for
the modular representation theory of Hecke algebras of type $B$. We attempt to
explain the connections between Geck's cellular structures (coming from
Kazhdan-Lusztig theory with unequal parameters) and Ariki's Theorem on the
canonical basis of the Fock spaces.

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