Nilpotent orbits and finite W-algebras
Weiqiang Wang
TL;DR
This paper explores the structure, connections, and applications of finite W-algebras associated with semisimple Lie algebras and nilpotent elements, providing foundational insights and recent developments.
Contribution
It offers a comprehensive overview of the basic constructions, relationships, and applications of finite W-algebras in the context of semisimple Lie algebras.
Findings
Detailed constructions of finite W-algebras
Connections between W-algebras and Lie theory
Applications in representation theory and mathematical physics
Abstract
In recent years, the finite W-algebras associated to a semisimple Lie algebra and its nilpotent element have been studied intensively from different viewpoints. In this lecture series, we shall present some basic constructions, connections, and applications of finite W-algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry