Langlands’ Philosophy and Koszul Duality

2001 ◽  
pp. 379-414 ◽  
Author(s):  
Wolfgang Soergel
Keyword(s):  
Koszul Duality

scholarly journals KOSZUL DUALITY FOR STRATIFIED ALGEBRAS II. STANDARDLY STRATIFIED ALGEBRAS

2010 ◽  
Vol 89 (1) ◽  
pp. 23-49 ◽  
Author(s):  
VOLODYMYR MAZORCHUK
Keyword(s):  
Complete Picture ◽  
Projective Modules ◽  
Koszul Duality ◽  
Tilting Theory

AbstractWe give a complete picture of the interaction between the Koszul and Ringel dualities for graded standardly stratified algebras (in the sense of Cline, Parshall and Scott) admitting linear tilting (co)resolutions of standard and proper costandard modules. We single out a certain class of graded standardly stratified algebras, imposing the condition that standard filtrations of projective modules are finite, and develop a tilting theory for such algebras. Under the assumption on existence of linear tilting (co)resolutions we show that algebras from this class are Koszul, that both the Ringel and Koszul duals belong to the same class, and that these two dualities on this class commute.

Erratum to ?Koszul duality for operads,? vol. 76 (1994) pp. 203?272

1995 ◽  
Vol 80 (1) ◽  
pp. 293-293 ◽  
Author(s):  
V. Ginzburg ◽  
M. Kapranov
Keyword(s):  
Koszul Duality

Koszul Duality I

2020 ◽  
pp. 513-527
Author(s):  
Ben Elias ◽  
Shotaro Makisumi ◽  
Ulrich Thiel ◽  
Geordie Williamson
Keyword(s):  
Koszul Duality

scholarly journals Koszul duality for Kac–Moody groups and characters of tilting modules

2018 ◽  
Vol 32 (1) ◽  
pp. 261-310 ◽  
Author(s):  
Pramod N. Achar ◽  
Shotaro Makisumi ◽  
Simon Riche ◽  
Geordie Williamson
Keyword(s):  
Koszul Duality ◽  
Tilting Modules

scholarly journals Koszul Duality and Mixed Hodge Modules

2013 ◽  
Vol 2014 (21) ◽  
pp. 5874-5911 ◽  
Author(s):  
Pramod N. Achar ◽  
Sarah Kitchen
Keyword(s):  
Koszul Duality ◽  
Mixed Hodge Modules
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