A Survey on Koszul Algebras and Koszul Duality

2020 ◽  
pp. 157-176
Author(s):  
Neeraj Kumar
Keyword(s):  
Koszul Algebras ◽  
Koszul Duality

scholarly journals Koszul duality for N-Koszul algebras

2005 ◽  
Vol 103 (2) ◽  
pp. 155-168 ◽  
Author(s):  
Roberto Martínez-Villa ◽  
Manuel Saorín
Keyword(s):  
Koszul Algebras ◽  
Koszul Duality

scholarly journals Koszul algebras and flow lattices

2022 ◽  
Vol 185 ◽  
pp. 105534
Author(s):  
Zsuzsanna Dancso ◽  
Anthony M. Licata
Keyword(s):  
Koszul Algebras

Koszul Algebras and Their Ideals

2005 ◽  
Vol 39 (2) ◽  
pp. 120-130 ◽  
Author(s):  
D. I. Piontkovskii
Keyword(s):  
Koszul Algebras

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.

Discrete Koszul Algebras

2010 ◽  
Vol 15 (2) ◽  
pp. 273-293 ◽  
Author(s):  
Jia-Feng Lü ◽  
Miao-Sen Chen
Keyword(s):  
Koszul Algebras

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
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