[00QC] Quadratic duals, Koszul dual functors, and applications

Chapter 3153 · Reference depth 1

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Cited by Braiding on type A Soergel bimodules: semistrictness and naturality, Motivic Springer Theory

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References in this collection

1. AS · Twisting functors on Depth 2
2. Au · Representation theory of Artin algebras. I, II. Depth 2
3. AR · M. Auslander, I.Reiten, Stable equivalence of dualizing R-varieties. Advances in Math. 12 (1974), 306--366. Depth 2
4. ErikKoszul · Koszul duality for parabolic and singular category O Depth 2
5. Backelinhom · The Hom-spaces between projective functors Depth 2
6. Bass · Algebraic K-theory Depth 2
7. BGS · Koszul Duality Patterns in Representation Theory Depth 2
8. BFK · A categorification of the Temperley-Lieb algebra and Schur quotients of U( sl_2) via projective and Zuckerman functors Depth 2
9. BG · Tensor products of finite- and infinite-dimensional representations of semisimple Lie algebras Depth 2
10. BGGKoszul · I. Bern ste n, and I. Gelfand, and S. Gelfand, Algebraic vector bundles on P n and problems of linear algebra, Funktsional. Anal. i Prilozhen., 12, (1978), no. 3, 66--67. Depth 2
11. BGG · I. Bern ste n, and I. Gelfand, and S. Gelfand, A certain category of g-modules, Funkcional. Anal. i Prilo zen. 10 (1976), no. 2, 1--8. Depth 2
12. BoGa · Covering spaces in representation theory. Depth 2
13. Bredon · Equivariant cohomology theories Depth 2
14. CM · Skew category, Galois covering and smash pro\-duct of a k-category Depth 2
15. Deligne · Cohomologie a support propre et construction du foncteur f^! Depth 2
16. Dieck · T. tom Dieck, \"Uber projektive Moduln und Endlichkeitshindernisse bei Transformationsgruppen, Manuscripta Mathematica 34, 135--155, (1981). Depth 2
17. CT · Centers and translation functors for the category over Kac-Moody algebras Depth 2
18. Fiebigcomb · The combinatorics of category for symmetrizable Kac-Moody algebras Depth 2
19. Fl · G. Fl ystad, Koszul duality and equivalences of categories, math.RA/0012264. Depth 2
20. FKS · A categorification of finite-dimensional irreducible representations of quantum sl(2) and their tensor products Depth 2
21. GJ · Towards the Kazhdan-Lusztig conjecture Depth 2
22. Ga · Des catégories abéliennes. Depth 2
23. GM · Methods of homological algebra. Depth 2
24. GK · Koszul duality for operads Depth 2
25. GMVRSZ · E. Green, R. Mart\' nez-Villa, I. Reiten, . Solberg, D. Zacharia, On modules with linear presentations. J. Algebra 205 (1998), no. 2, 578--604. Depth 2
26. GRS · . Solberg, Dualities on generalized Koszul algebras. Mem Depth 2
27. Ha · Triangulated categories in the representation theory of finite-dimensional algebras Depth 2
28. HI · Koszul modules. Depth 2
29. Irvingshuffle · Shuffled Verma modules and principal series modules over complex semisimple Lie algebras Depth 2
30. Ja1 · Moduln mit einem höchsten Gewicht Depth 2
31. Ja2 · Einhüllende Algebren halbeinfacher Lie-Algebren Depth 2
32. JEnright · The Enright functor on the Bernstein-Gelfand-Gelfand category Depth 2
33. KS · Sheaves on manifolds Depth 2
34. KellerinKZ · On the construction of triangle equivalences Depth 2
35. Ke2 · Deriving DG categories Depth 2
36. Ke3 · Koszul duality and coderived categories (after K. Lefèvre) Depth 2
37. KM · On Arkhipov's and Enright's functors Depth 2
38. McL · S. Mac Lane, Homology. Reprint of the 1975 edition. Classics in Mathematics. Springer-Verlag, Berlin, 1995. Depth 2
39. MVS · Koszul equivalences and dualities. Depth 2
40. MVZ · Approximations with modules having linear resolutions. Depth 2
41. Ma1 · Applications of the category of linear complexes of tilting modules associated with the category O Depth 2
42. MO · A pairing in homology and the category of linear complexes of tilting modules for a quasi-hereditary algebra Depth 2
43. MS · On functors associated to a simple root Depth 2
44. MS2 · Translation and shuffling of projectively presentable modules and a categorification of a parabolic Hecke module Depth 2
45. Mi · Rings with several objects. Depth 2
46. Ri · Morita theory for derived categories. Depth 2
47. Steen · Koszul duality of translation and Zuckerman functors. Depth 2
48. Schubert · H. Schubert, Kategorien. I, Heidelberger Taschenb\"ucher, 66, Springer, Berlin, (1970). Depth 2
49. Sh · On the projective cover of a module and related results. Depth 2
50. Sperv · Kategorie , perverse Garben und Moduln über den Koinvarianten zur Weylgruppe Depth 2
51. Stgrad · Category O: gradings and translation functors Depth 2
52. StDuke · Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors Depth 2
53. St4TQFT · TQFT with corners and tilting functors in the Kac-Moody case Depth 2
54. Josh · Ph.D. thesis (in preparation), Yale university (New Haven) Depth 2