scholarly journals Symplectic reflection algebras in positive characteristic as Ore extensions

2020 ◽  
Vol 48 (8) ◽  
pp. 3543-3572
Author(s):  
Emily Norton
Keyword(s):  
Positive Characteristic ◽  
Symplectic Reflection Algebras ◽  
Ore Extensions ◽  
Reflection Algebras

scholarly journals Symplectic reflection algebras in positive characteristic

2010 ◽  
Vol 53 (1) ◽  
pp. 61-81 ◽  
Author(s):  
K. A. Brown ◽  
K. Changtong
Keyword(s):  
Positive Characteristic ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
Cherednik Algebras ◽  
Basic Properties ◽  
Symplectic Reflection Algebras ◽  
Reflection Algebras ◽  
Rational Cherednik Algebras

AbstractBasic properties of symplectic reflection algebras over an algebraically closed field k of positive characteristic are laid out. These algebras are always finite modules over their centres, in contrast to the situation in characteristic 0. For the subclass of rational Cherednik algebras, we determine the PI-degree and the Goldie rank, and show that the Azumaya and smooth loci of the centre coincide.

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
Sign in / Sign up

Export Citation Format

Share Document