Presenting cyclotomic q-Schur algebras
Kentaro Wada
TL;DR
This paper provides a presentation of cyclotomic q-Schur algebras through generators and relations, and introduces an algorithm for calculating their decomposition numbers, advancing understanding of their structure.
Contribution
It offers the first explicit presentation of cyclotomic q-Schur algebras and an algorithm for their decomposition number computation.
Findings
Explicit generators and relations for cyclotomic q-Schur algebras
An algorithm for computing their decomposition numbers
Enhanced tools for studying their representation theory
Abstract
We give a presentation of cyclotomic q-Schur algebras by generators and defining relations. As an application, we give an algorithm for computing decomposition numbers of cyclotomic q-Schur algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Logic