scholarly journals AST419 - Chiral Differential Operators via Batalin-Vilkovisky Quantization

Astérisque ◽  
2020 ◽  
Vol 417 ◽  
pp. 1-210
Author(s):  
Vassily GORBOUNOV ◽  
Owen GWILLIAM ◽  
Brian WILLIAMS
Keyword(s):  
Differential Operators ◽  
Chiral Differential Operators

Gerbes of chiral differential operators. II. Vertex algebroids

2004 ◽  
Vol 155 (3) ◽  
pp. 605-680 ◽  
Author(s):  
Vassily Gorbounov ◽  
Fyodor Malikov ◽  
Vadim Schechtman
Keyword(s):  
Differential Operators ◽  
Chiral Differential Operators

scholarly journals On chiral differential operators over homogeneous spaces

2001 ◽  
Vol 26 (2) ◽  
pp. 83-106 ◽  
Author(s):  
Vassily Gorbounov ◽  
Fyodor Malikov ◽  
Vadim Schechtman
Keyword(s):  
Parabolic Subgroup ◽  
Differential Operators ◽  
Homogeneous Spaces ◽  
Algebraic Groups ◽  
Chiral Differential Operators ◽  
Chiral Algebras ◽  
Semisimple Algebraic Groups

We give a classification and construction of chiral algebras of differential operators over semisimple algebraic groupsGand over homogeneous spacesG/NandG/PwhereNis a nilpotent andPa parabolic subgroup.

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