TL;DR
This paper surveys recent advances in the representation theory of symplectic reflection algebras, highlighting their links to symplectic singularities, quiver representations, and category O.
Contribution
It provides a comprehensive overview of recent developments, emphasizing connections between symplectic reflection algebras and geometric and categorical structures.
Findings
Connections with symplectic quotient singularities
Resolutions of singularities related to symplectic reflection algebras
Insights into category O representations
Abstract
We survey recent results on the representation theory of symplectic reflection algebras, focusing particularly on connections with symplectic quotient singularities and their resolutions, spaces of representations of quivers, and on category O.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Polynomial and algebraic computation