Higher Representation Theory and Quantum Affine Schur-Weyl Duality
Seok-Jin Kang
TL;DR
This paper explores the interplay between higher representation theory and quantum affine Schur-Weyl duality, emphasizing the role of Khovanov-Lauda-Rouquier algebras in these advanced mathematical frameworks.
Contribution
It elucidates the core ideas of 2-representation theory and quantum affine Schur-Weyl duality, highlighting the significance of Khovanov-Lauda-Rouquier algebras.
Findings
Clarifies the philosophy of 2-representation theory
Connects quantum affine Schur-Weyl duality with Khovanov-Lauda-Rouquier algebras
Provides insights into the structure of these algebraic frameworks
Abstract
In this article, we explain the main philosophy of 2-representation theory and quantum affine Schur-Weyl duality. The Khovanov-Lauda-Rouquier algebras play a central role in both themes.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Topics in Algebra