The Brundan-Kleshchev isomorphism revisited
Fan Kong, Zhiwei Li
TL;DR
This paper provides a concise and unified proof of the Brundan-Kleshchev isomorphism, establishing a fundamental connection between cyclotomic Hecke algebras and Khovanov-Lauda-Rouquier algebras of type A.
Contribution
It offers a simplified and unified proof of a key isomorphism in algebra, enhancing understanding of the relationship between these algebraic structures.
Findings
Unified proof of the Brundan-Kleshchev isomorphism
Clarification of the relationship between cyclotomic Hecke and KLR algebras
Simplification of existing proofs in the literature
Abstract
We give a short and unified proof of the Brundan-Kleshchev isomorphism between blocks of cyclotomic Hecke algebras and cyclotomic KhovanovLauda-Rouquier algebras of type A.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons