On the Mullineux involution for Ariki-Koike algebras

Details On the Mullineux involution for Ariki-Koike algebras On the Mullineux involution for Ariki-Koike algebras

2008-04-03

arxiv.org/abs/0804.0478v3

Mathematics

Representation Theory

17 pages

Scientific paper

This note is concerned with a natural generalization of the Mullineux
involution for Ariki-Koike algebras. Using a result of Fayers together with
previous results by the authors, we give an efficient algorithm for computing
this generalized Mullineux involution. Our algorithm notably does not involve
the determination of paths in affine crystals.

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