Core blocks for Hecke algebras of type B and sign sequences

Abstract

We consider the core blocks corresponding to the Hecke algebras of type B over a field of arbitrary characteristic. To each core block, we associate two non-negative integers which determine the indexing of the Specht modules and simple modules in the block, the weight of the block, the multicharge of the algebra (up to a shift) and the block decomposition matrix.

KEYWORDS:

• Abacuses
• Ariki-Koike algebras

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 20C08
• 20C30
• 05E10