Homomorphisms Between Specht Modules of the Ariki Koike Algebra

2011/08/18 by Kelvin Corlett, Corlett, Kelvin · 1 citation
Computer Science · Mathematics · #20C08 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:20C08

paper · pdf · doi:10.48550/arxiv.1108.3672

arxiv created 2011/08/18 · openalex publication_date 2011/08/18 · arxiv updated 2011/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we generalize a theorem due to Lyle, extending its application to the setting of the Ariki-Koike algebra, and in doing so establish an analogue of the kernel intersection theorem. This in turn provides us with a means towards constructing homomorphisms between Specht modules for the Ariki-Koike algebra.

Citations

• On homomorphisms indexed by semistandard tableaux

Cited by

• Cyclotomic Carter-Payne homomorphisms

Related

• On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity
• Specht Modules and Branching Rules for Ariki-Koike Algebras
• Rouquier blocks for Ariki-Koike algebras
• Homomorphisms from an arbitrary Specht module to one corresponding to a hook
• Equivalence of v-decomposition matrices for blocks of Ariki-Koike algebras