The Brundan-Kleshchev subalgebra and BK-type isomorphsims
Fan Kong, Zhiwei Li
TL;DR
This paper establishes an isomorphism between certain cyclotomic affine Hecke algebras and BK-subalgebras, revealing structural connections in algebraic representation theory.
Contribution
It introduces a unified method to demonstrate isomorphisms between cyclotomic affine Hecke algebras and BK-type KLR algebras, expanding understanding of their relationships.
Findings
Isomorphism between cyclotomic affine Hecke algebras and BK-subalgebras
Unified approach applicable to degenerate affine cases
Enhanced structural understanding of KLR-type algebras
Abstract
We use a unified method to give an isomorphism between direct sums of cyclotomic affine (and degenerate affine) Hecke algebras and cyclotomic BK-subalgebras which are some KLR-type algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry