The representation type of Ariki-Koike algebras and cyclotomic q-Schur algebras
Kentaro Wada
TL;DR
This paper establishes precise conditions on parameters that determine when Ariki-Koike algebras and cyclotomic q-Schur algebras have finite representation type, advancing understanding of their algebraic structure.
Contribution
It provides a complete characterization of parameter conditions for finite representation type in these algebras, filling a gap in their classification.
Findings
Necessary and sufficient conditions for finite representation type.
Parameter criteria explicitly characterized.
Enhanced classification of Ariki-Koike and cyclotomic q-Schur algebras.
Abstract
We give a necessary and sufficient condition on parameters for Ariki-Koike algebras (resp. cyclotomic q-Schur algebras) to be of finite representation type.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics