14
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

On Special Pieces in the Unipotent Variety

&
Pages 281-290 | Published online: 03 Apr 2012

REFERENCES

  • Alvis , D. and Lusztig , G. 1982 . “The representations and generic degrees of the Hecke algebra of type H4“ . J. Reine Angew. Math. , 336 : 201 – 212 . [Alvis and Lusztig 1982], Correction in 449 (1994), 217–218
  • Benson , C. T. and Curtis , C. W. 1972 . “On the degrees and rationality of certain characters of finite Chevalley groups” . Trans. Amer. Math. Soc. , 165 : 251 – 273 . [Benson and Curtis 1972], Corrections and additions by C. W. Curtis in 202 (1975), 405–406
  • Bourbaki , N. 1968 . Groupes et algèbres de Lie, Chap. IV, V, VI Paris : Hermann. . [Bourbaki 1968], Actualités Scientifiques et Industrielles 1337
  • Broué , M. and Malle , G. 1993 . “Zyklotomische Heckealgebren”. ” . In Représentations unipotentes génériques et blocs des groupes réductifs finis Edited by: Broué , M. 119 – 189 . Paris : Soc. math. France. . [Broué and Malle 1993], Astérisque 212
  • Brou , M. , Malle , G. and Michel , J. 1999 . “Towards Spetses” [Broué et al. 1999], preprint, To appear in Transformation Groups.
  • Carter , R. W. 1985 . Finite groups of Lie type: Conjugacy classes and complex characters New York : John Wiley. . [Carter 1985]
  • Curtis , C. W. and Reiner , I. 1987 . Methods of representation theory, II New York : John Wiley. . [Curtis and Reiner 1987]
  • Geck , M. and Malle , G. 1999 . “On the existence of a unipotent support for the irreducible characters of a finite group of Lie type” . Trans. Amer. Math. Soc. , [Geck and Malle 1999]
  • Geck , M. , Hiss , G. , Lübeck , F. , Malie , G. and Pfeiffer , G. 1996 . “CHEVIE–a system for computing and processing generic character tables” . Appl. Algebra Engrg. Coram. Comput. , 7 ( 3 ) : 175 – 210 . [Geck et al. 1996]
  • Kilmoyer , R. and Solomon , L. 1973 . “On the theorem of Feit-Higman” . J. Combinatorial Theory Ser. A , 15 : 310 – 322 . [Kilmoyer and Solomon 1973]
  • Lusztig , G. 1979 . “A class of irreducible representations of a Weyl group” . Nederl. Akad. Wetensch. Indag. Math. , 41 ( 3 ) : 323 – 335 . [Lusztig 1979]
  • Lusztig , G. 1981 . “Green polynomials and singularities of unipotent classes” . Adv. in Math. , 42 ( 2 ) : 169 – 178 . [Lusztig 1981a]
  • Lusztig , G. 1981 . “On a theorem of Benson and Curtis” . J. Algebra , 71 ( 2 ) : 490 – 498 . [Lusztig 1981b]
  • Lusztig , G. 1982 . “A class of irreducible representations of a Weyl group, II” . Nederl. Akad. Wetensch. Indag. Math. , 44 ( 2 ) : 219 – 226 . [Lusztig 1982]
  • Lusztig , G. 1984 . Characters of reductive groups over a finite field Princeton , N.J. : Princeton University Press. . [Lusztig 1984], Annals of Math. Studies 107
  • Lusztig , G. 1986 . “Character sheaves, V” . Adv. in Math. , 61 ( 2 ) : 103 – 155 . [Lusztig 1986], Erratum in 62:3 (1986), 313–314
  • Lusztig , G. 1993 . “Appendix: Coxeter groups and unipotent representations”. ” . In Représentations unipotentes génériques et blocs des groupes réductifs finis Edited by: Brou , M. 191 – 203 . Paris : Soc. math. France. . [Lusztig 1993], Astérisque 212
  • Lusztig , G. 1997 . “Notes on unipotent classes” . Asian J. Math. , 1 ( 1 ) : 194 – 207 . [Lusztig 1997]
  • Malle , G. 1995 . “Unipotente Grade imprimitiver komplexer Spiegelungsgruppen” . J. Algebra , 177 ( 3 ) : 768 – 826 . [Malle 1995]
  • Malle , G. 1999 . “On the generic degrees of cyclotomic algebras” [Malle 1999], preprint
  • Malle , G. and Mathas , A. 1998 . “Symmetric cyclotomic Hecke algebras” . J. Algebra , 205 ( 1 ) : 275 – 293 . [Malle and Mathas 1998]
  • Orlik , P. and Solomon , L. 1980 . “Unitary reflection groups and cohomology” . Invent. Math. , 59 ( 1 ) : 77 – 94 . [Orlik and Solomon 1980]
  • Sch , M. 1994 . GAP: Groups, algorithms, and programming, , 4th ed. Lehrstuhl D für Mathematik, RWTH Aachen. . [Schönert et al. 1994], See ftp://dimacs.rutgers.edu/pub/ or http://www-gap.dcs.st-and.ac.uk/~gap
  • Shephard , G. C. and Todd , J. A. 1954 . “Finite unitary reflection groups” . Canadian J. Math. , 6 : 274 – 304 . [Shephard and Todd 1954]
  • Shoji , T. 1987 . “Green functions of reductive groups over a finite field”. ” . In The Arcata Conference on Representations of Finite Groups (Arcata, CA, 1986) 289 – 301 . Providence , RI : Amer. Math. Soc. . [Shoji 1987]
  • Shoji , T. 1998 . “Green functions and a conjecture of Geck and Malle” [Shoji 1998], preprint, To appear in Beiträge zur Algebra und Geometrie.
  • Spaltenstein , N. 1982 . Classes unipotentes et sous-groupes de Borel Berlin : Springer. . [Spaltenstein 1982], LNM 946

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.