Symplectic reflection algebras

TL;DR

This paper introduces symplectic reflection algebras, illustrating their various aspects through examples, and aims to provide an accessible overview for students and researchers interested in noncommutative algebraic geometry.

Contribution

It offers an introductory exposition with examples and exercises on symplectic reflection algebras, highlighting their diverse features and applications.

Findings

Multiple facets of symplectic reflection algebras illustrated through examples

Exercises enhance understanding of algebraic structures

Provides foundational knowledge for further research in noncommutative geometry

Abstract

These lecture notes are based on an introductory course given by the author at the summer school "Noncommutative Algebraic Geometry" at MSRI in June 2012. The emphasis throughout is on examples to illustrate the many different facets of symplectic reflection algebras. Exercises are included at the end of each lecture in order for the student to get a better feel for these algebras.