TL;DR
This survey reviews recent advances in the representation theory of finite W-algebras, highlighting their connections with universal enveloping algebras and their algebraic structures.
Contribution
It provides a comprehensive overview of recent developments in finite W-algebras and explores their interactions with universal enveloping algebras.
Findings
Enhanced understanding of W-algebra representations
Connections established between W-algebras and universal enveloping algebras
Recent theoretical progress summarized
Abstract
A finite W-algebra is an associative algebra constructed from a semisimple Lie algebra and its nilpotent element. In this survey we review recent developments in the representation theory of W-algebras. We emphasize various interactions between W-algebras and universal enveloping algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Logic