Papers - Raphaël Rouquier

  1. Isométries parfaites dans les blocs à défaut abélien des groupes symétriques et sporadiques, J. of Algebra 168 (1994), 648-694.
  2. From stable equivalences to Rickard equivalences for blocks with cyclic defect, proceedings of ``Groups 1993, Galway--Saint-Andrews conference'', vol. 2, pp. 512-523, Cambridge University Press, 1995.
  3. On complex reflection groups and their associated braid groups, in ``Representations of groups'', pp. 1-13, Amer. Math. Soc., 1995 (with M.Broué and G.Malle) [preprint].
  4. Correspondance de Howe pour les groupes finis, Duke Math. J. 83 (1996), 353--387 (with A.-M.Aubert and J.Michel).
  5. Centers and simple modules for Iwahori-Hecke algebras, in ``Finite reductive groups'', pp. 251-272, Birkhäuser, 1996 (with M.Geck).
  6. Caractérisation des caractères et pseudo-caractères, J. of Algebra 180 (1996), 571-586.
  7. Some examples of Rickard complexes, proceedings of the conference on representation theory of groups, algebras, orders, Ann. St. Univ. Ovidius Constantza 4 (1996), 169-173 [preprint].
  8. Complex reflection groups, braid groups, Hecke algebras, J. reine angew. Math. 500 (1998), 127-190 (with M.Broué and G.Malle).
  9. The derived category of blocks with cyclic defect groups, in ``Derived equivalences of group rings'', Springer Lecture Notes 1685, 199-220 (1998).
  10. Weyl groups, affine Weyl groups and reflection groups, in ``Representations of reductive groups'', Cambridge Univ. Press, pp. 21-39, 1998.
  11. Familles et blocs d'algèbres de Hecke, Comptes Rendus Acad. Sci. 329 (1999), 1037-1042.
  12. Self-equivalences of stable module categories, Math. Zeitschrift 233 (2000), 165-178 (with J.Carlson).
  13. Block theory via stable and Rickard equivalences, in ``Modular representation theory of finite groups'', de Gruyter, pp. 101-146, 2001.
  14. Filtrations on projective modules for Iwahori-Hecke algebras, in ``Modular representation theory of finite groups'', de Gruyter, pp. 211-221, 2001 (with M.Geck) [preprint].
  15. Source algebras and source modules, J. of Alg. 239 (2001), 262-271 (with J.Alperin and M.Linckelmann).
  16. Quotients et extensions de groupes de réflexion, Math. Annalen 323 (2002), 405-436 (with D.Bessis and C.Bonnafé).
  17. Complexes de chaînes étales et courbes de Deligne-Lusztig, J. of Algebra 257 (2002), Special issue in honor of J.G.Thompson on the occasion of his 70th birthday, 482-508.
  18. Picard groups for derived categories, J. London Math. Soc. 87 (2003), 197-225 (with A.Zimmermann).
  19. Catégories dérivées et variétés de Deligne-Lusztig, Publ. Math. IHES 97 (2003), 1-59 (with C.Bonnafé).
  20. On the category O for rational Cherednik algebras, Inventiones Math. 154 (2003), 617-651 (with V.Ginzburg, N.Guay and E.Opdam).
  21. Familles de caractères de groupes de réflexions complexes, Representation Theory 7 (2003), 610-640 (with G.Malle).
  22. Derived equivalences for symmetric groups and sl2-categorification, Annals of Math. 167 (2008), 245-298 (with J.Chuang).
  23. Catégories dérivées et géométrie birationelle, Séminaire Bourbaki, Astérisque 307 (2006), 283-307 [preprint].
  24. Representations of rational Cherednik algebras, in ``Infinite-dimensional aspects of representation theory and applications'', pp. 103-131, American Math. Soc., 2005 [preprint].
  25. Categorification of sl2 and braid groups, in ``Trends in representation theory of algebras and related topics'', 137-167, Amer. Math. Soc., 2006.
  26. Cohomologie des variétés de Deligne-Lusztig, Advances Math. 209 (2007), 749-822 (with F.Digne and J.Michel).
  27. Dimensions of triangulated categories, Journal of K-theory 1 (2008), 193-256 and errata, 257-258.
  28. Representation dimension of exterior algebras, Inventiones Math. 165 (2006), 357-367.
  29. q-Schur algebras and complex reflection groups, Moscow Mathematical Journal 8 (2008), 119-158.
  30. Coxeter orbits and modular representations, Nagoya Math. J. 183 (2006), 1-34 (with C.Bonnafé).
  31. On the irreducibility of Deligne-Lusztig varieties, Comptes Rendus Acad. Sci. 343 (2006), 37-39 (with C.Bonnafé).
  32. Derived equivalences and finite dimensional algebras, Proceedings of the International Congress of Mathematicians (Madrid, 2006 ), vol II, pp. 191-221, EMS Publishing House, 2006.
  33. Alperin's conjecture for algebraic groups, Oxford Quarterly J. Math 59 (2008), 375-378 (with G.Röhrle).
  34. Microlocalization of rational Cherednik algebras, Duke Math. J. 144 (2008), 525-573 (with M.Kashiwara).
  35. Affineness of Deligne-Lusztig varieties for minimal length elements, J. of Algebra 320 (2008), 1200-1206 (with C.Bonnafé).
  36. Compactification des variétés de Deligne-Lusztig, Ann. Inst. Fourier 59 (2009), 621-640 (with C.Bonnafé).
  37. The Dynkin diagram cohomology of finite Coxeter groups, J. of Algebra 323 (2010), 59-82 (with V.Toledano-Laredo).
  38. Derived categories and algebraic geometry, in "Triangulated categories", pp. 351-370, Cambridge University Press, 2010.
  39. Automorphismes, graduations et catégories triangulées, J. Inst. Math. Jussieu 10 (2011), 713-751.
  40. 2-Kac-Moody algebras, preprint (2008).
  41. Stable categories and reconstruction, J. Alg. 475 (2017), 287-307 (with J.Rickard).
  42. Perverse equivalences and Broué's conjecture, Adv. Math. 248 (2013), 1-58 (with D.Craven).
  43. Automizers as extended reflection groups, J. of Alg. 398 (2014), 407-412.
  44. Quiver Hecke algebras and 2-Lie algebras, Algebra Colloquium 19 (2012), 359-410 [preprint].
  45. Calogero-Moser versus Kazhdan-Lusztig cells, Pacific Journal of Mathematics 261 (2013), 45-51 (with C.Bonnafé).
  46. Khovanov-Rozansky homology and 2-braid groups,  in ``Categorification in geometry, topology, and physics'', 147-157, Amer. Math. Soc., 2017 [preprint].
  47. Coxeter orbits and Brauer trees III, J. AMS 27 (2014), 1117-1145 (with O.Dudas).
  48. Cellules de Calogero Moser, preprint (2013) (with C.Bonnafé).
  49. Categorifications and cyclotomic rational double affine Hecke algebras, Inventiones Math. 204 (2016), 671-786 (with P.Shan, M.Varagnolo and E.Vasserot).
  50. Finite generation of cohomology of finite groups, preprint (2014).
  51. Derived categories and Deligne-Lusztig varieties II, Annals of Math. 185 (2017), 609-670 (with C.Bonnafé and J.-F.Dat).
  52. Motives of Deligne-Lusztig varieties, preprint (2017).
  53. Perverse equivalences, preprint (2017) (with J.Chuang).
  54. Brauer trees of unipotent blocks,  J. of the European Mathematical Society 22 (2020),  2821-2877 (with D.Craven and O.Dudas).
  55. Cherednik algebras and Calogero-Moser cells, preprint (2017) (with C.Bonnafé).
  56. An asymptotic cell category for cyclic groups, J. of Alg.  558 (2020), Special Issue in honor of Michel Broué, 102-128 (with C.Bonnafé).
  57. Translation by the full twist and Deligne-Lusztig varieties, J. of Alg.  558 (2020), Special Issue in honor of Michel Broué, 129-145 (with C.Bonnafé and O.Dudas).
  58. Higher representations and cornered Heegaard Floer homology, preprint (2020) (with A.Manion).
  59. Modular representations of finite groups and Lie theory, in memory of Jacques Tits, J. of Alg. 656 (2024), 446–485.
  60. 2-Representations of sl2 from quasi-maps, preprint, 2023.
  61. Cactus groups and Lusztig's asymptotic algebra, preprint (2024) (with N.White).
Edited books
  • Triangulated categories, (eds. T. Holm, P. Jørgensen, R. Rouquier), London Mathematical Society Lecture Notes Series (No. 375), Cambridge University Press, 2010.

Unpublished texts