Categorical actions and crystals
Jonathan Brundan, Nicholas Davidson
TL;DR
This paper explores the theory of categorical actions of Kac-Moody algebras, providing an expository overview of recent developments and foundational concepts in the area.
Contribution
It offers a comprehensive exposition of categorical actions of Kac-Moody algebras, synthesizing key ideas from multiple influential works.
Findings
Clarifies the structure of categorical actions
Connects different approaches in the literature
Provides foundational insights for future research
Abstract
This is an expository article developing some aspects of the theory of categorical actions of Kac-Moody algebras in the spirit of works of Chuang-Rouquier, Khovanov-Lauda, Webster, and many others.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Logic · Advanced Topics in Algebra