scholarly journals Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities

2004 ◽  
Vol 330 (1) ◽  
Author(s):  
Iain Gordon ◽  
S.Paul Smith
Keyword(s):  
Symplectic Reflection Algebras ◽  
Quotient Singularities ◽  
Reflection Algebras

scholarly journals Derived Equivalences for Symplectic Reflection Algebras

2019 ◽  
Author(s):  
Ivan Losev
Keyword(s):  
Bernstein Inequality ◽  
Localization Theorem ◽  
Coherent Sheaves ◽  
Derived Equivalences ◽  
Symplectic Reflection Algebras ◽  
Wall Crossing ◽  
Quotient Singularities ◽  
Reflection Algebras

Abstract In this paper we study derived equivalences for symplectic reflection algebras. We establish a version of the derived localization theorem between categories of modules over these algebras and categories of coherent sheaves over quantizations of $\mathbb{Q}$-factorial terminalizations of the symplectic quotient singularities. To do this we construct a Procesi sheaf on the terminalization and show that the quantizations of the terminalization are simple sheaves of algebras. We will also sketch some applications to the generalized Bernstein inequality and to perversity of wall crossing functors.

scholarly journals A Lie-Theoretic Construction of Spherical Symplectic Reflection Algebras

2008 ◽  
Vol 13 (3-4) ◽  
pp. 541-556 ◽  
Author(s):  
P. Etingof ◽  
S. Loktev ◽  
A. Oblomkov ◽  
L. Rybnikov
Keyword(s):  
Symplectic Reflection Algebras ◽  
Reflection Algebras

scholarly journals Harish–Chandra homomorphisms and symplectic reflection algebras for wreath-products

2007 ◽  
Vol 105 (1) ◽  
pp. 91-155 ◽  
Author(s):  
Pavel Etingof ◽  
Wee Liang Gan ◽  
Victor Ginzburg ◽  
Alexei Oblomkov
Keyword(s):  
Wreath Products ◽  
Symplectic Reflection Algebras ◽  
Reflection Algebras
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