Decomposition numbers for Rouquier blocks of Ariki–Koike algebras I

  • Sinéad Lyle

    University of East Anglia, Norwich, UK
Decomposition numbers for Rouquier blocks of Ariki–Koike algebras I cover

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Abstract

Let denote an Ariki–Koike algebra over a field of characteristic . For each -multipartition of , there exists a -module and for each Kleshchev -multipartition of , there exists an irreducible -module . Given a multipartition and a Kleshchev multipartition both lying in a Rouquier block such that and have the same multicore, we give a closed formula for the graded decomposition number when or when each component of has fewer than removable -rim hooks.

Cite this article

Sinéad Lyle, Decomposition numbers for Rouquier blocks of Ariki–Koike algebras I. J. Comb. Algebra (2024), published online first

DOI 10.4171/JCA/87