scholarly journals Quiver Varieties, Category for Rational Cherednik Algebras, and Hecke Algebras

2010 ◽  
Author(s):  
I. G. Gordon
Keyword(s):  
Hecke Algebras ◽  
Cherednik Algebras ◽  
Quiver Varieties ◽  
Rational Cherednik Algebras

scholarly journals On the category 𝒪 for rational Cherednik algebras

2003 ◽  
Vol 154 (3) ◽  
pp. 617-651 ◽  
Author(s):  
Victor Ginzburg ◽  
Nicolas Guay ◽  
Eric Opdam ◽  
Raphaël Rouquier
Keyword(s):  
Cherednik Algebras ◽  
Rational Cherednik Algebras

scholarly journals Quiver Hecke Algebras and 2-Lie Algebras

2012 ◽  
Vol 19 (02) ◽  
pp. 359-410 ◽  
Author(s):  
Raphaël Rouquier
Keyword(s):  
Representation Theory ◽  
Lie Algebras ◽  
Hecke Algebras ◽  
Geometric Description ◽  
Monoidal Categories ◽  
Quiver Varieties ◽  
Basic Properties

We provide an introduction to the 2-representation theory of Kac-Moody algebras, starting with basic properties of nil Hecke algebras and quiver Hecke algebras, and continuing with the resulting monoidal categories, which have a geometric description via quiver varieties, in certain cases. We present basic properties of 2-representations and describe simple 2-representations, via cyclotomic quiver Hecke algebras, and through microlocalized quiver varieties.

scholarly journals Rational Cherednik algebras and Hilbert schemes

2005 ◽  
Vol 198 (1) ◽  
pp. 222-274 ◽  
Author(s):  
I. Gordon ◽  
J.T. Stafford
Keyword(s):  
Hilbert Schemes ◽  
Cherednik Algebras ◽  
Rational Cherednik Algebras
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