General information
Latest issue
Impact factor

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Mosc. Math. J.:

Personal entry:
Save password
Forgotten password?

Mosc. Math. J., 2004, Volume 4, Number 1, Pages 153–179 (Mi mmj146)  

This article is cited in 32 scientific papers (total in 32 papers)

Parabolic character sheaves. I

G. Lusztig

Department of Mathematics, Massachusetts Institute of Technology

Abstract: We study a class of perverse sheaves on the variety of pairs $(P,gUP)$ where $P$ runs through a conjugacy class of parabolics in a connected reductive group and $gUP$ runs through $G/UP$. This is a generalization of the theory of character sheaves.

Key words and phrases: Reductive group, parabolic group, perverse sheaf, character sheaf.


Full text:
References: PDF file   HTML file

Bibliographic databases:

MSC: 20G99
Received: February 26, 2003

Citation: G. Lusztig, “Parabolic character sheaves. I”, Mosc. Math. J., 4:1 (2004), 153–179

Citation in format AMSBIB
\by G.~Lusztig
\paper Parabolic character sheaves.~I
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 1
\pages 153--179

Linking options:

    SHARE: FaceBook Twitter Livejournal

    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    Cycle of papers

    This publication is cited in the following articles:
    1. G. Lusztig, “Parabolic character sheaves. II”, Mosc. Math. J., 4:4 (2004), 869–896  mathnet  crossref  mathscinet  zmath
    2. He Xuhua, “The character sheaves on the group compactification”, Adv. Math., 207:2 (2006), 805–827  crossref  mathscinet  zmath  isi  scopus
    3. Evens S., Lu Jiang-Hua, “On the variety of Lagrangian subalgebras. II”, Ann. Sci. Icole Norm. Sup. (4), 39:2 (2006), 347–379  crossref  mathscinet  zmath  isi  scopus
    4. He Xuhua, “Unipotent variety in the group compactification”, Adv. Math., 203:1 (2006), 109–131  crossref  mathscinet  zmath  isi
    5. Lusztig G., “Character sheaves and generalizations”, Unity of Mathematics - IN HONOR OF THE NINETIETH BIRTHDAY OF I.M. GELFAND, Progress in Mathematics, 244, 2006, 443–455  crossref  mathscinet  zmath  isi  scopus
    6. Lu J.-H., Yakimov M., “Partitions of the wonderful group compactification”, Transformation Groups, 12:4 (2007), 695–723  crossref  mathscinet  zmath  isi  scopus
    7. He X., “Minimal length elements in some double cosets of Coxeter groups”, Advances in Mathematics, 215:2 (2007), 469–503  crossref  mathscinet  zmath  isi  scopus
    8. Springer T.A., “An extension of Bruhat's lemma”, Journal of Algebra, 313:1 (2007), 417–427  crossref  mathscinet  zmath  isi  scopus
    9. He X., “The G-stable pieces of the wonderful compactification”, Transactions of the American Mathematical Society, 359:7 (2007), 3005–3024  crossref  mathscinet  zmath  isi  scopus
    10. Lu J.-H., Yakimov M., “Group orbits and regular partitions of Poisson manifolds”, Communications in Mathematical Physics, 283:3 (2008), 729–748  crossref  mathscinet  zmath  adsnasa  isi  scopus
    11. He X., Lusztig G., “Singular supports for character sheaves on a group compactification”, Geometric and Functional Analysis, 17:6 (2008), 1915–1923  crossref  mathscinet  zmath  isi  scopus
    12. He X., “Character sheaves on certain spherical varieties”, Advances in Mathematics, 217:3 (2008), 1154–1191  crossref  mathscinet  zmath  isi  scopus
    13. G. Lusztig, “Notes on character sheaves”, Mosc. Math. J., 9:1 (2009), 91–109  mathnet  crossref  mathscinet  zmath
    14. He X., “G-stable pieces and partial flag varieties”, Representation Theory-Bk, Contemporary Mathematics, 478, 2009, 61–70  crossref  mathscinet  zmath  isi
    15. Hoeve M., “Ekedahl-Oort strata in the supersingular locus”, Journal of the London Mathematical Society-Second Series, 81:1 (2010), 129–141  crossref  mathscinet  zmath  isi  scopus
    16. G. Lusztig, “Parabolic Character Sheaves, III”, Mosc. Math. J., 10:3 (2010), 603–609  mathnet  crossref  mathscinet
    17. He X., “Character sheaves on the semi-stable locus of a group compactification”, Adv Math, 225:6 (2010), 3258–3290  crossref  mathscinet  zmath  isi  scopus
    18. Vasiu A., “Mod p classification of Shimura F-crystals”, Math Nachr, 283:8 (2010), 1068–1113  crossref  mathscinet  zmath  isi  scopus
    19. He X., Lu J.-H., “On Intersections of Certain Partitions of a Group Compactification”, Int Math Res Not, 2011, no. 11, 2534–2564  mathscinet  zmath  isi
    20. Springer T.A., “Remarks on Parabolic Character Sheaves”, Pure Appl Math Q, 7:4 (2011), 969–994  crossref  mathscinet  zmath  isi
    21. Springer T.A., “Decompositions related to symmetric varieties”, J Algebra, 329:1 (2011), 260–273  crossref  mathscinet  zmath  isi  scopus
    22. He X., “Closure of Steinberg Fibers and Affine Deligne-Lusztig Varieties”, Int Math Res Not, 2011, no. 14, 3237–3260  mathscinet  zmath  isi
    23. Goertz U., Hoeve M., “Ekedahl-Oort strata and Kottwitz-Rapoport strata”, J Algebra, 351:1 (2012), 160–174  crossref  mathscinet  zmath  isi  scopus
    24. Esposito F., “Closures of Orbits Under the Diagonal Action in the Wonderful Compactification of Pgl(3)”, Commun. Algebr., 40:8 (2012), 3127–3140  crossref  mathscinet  zmath  isi  scopus
    25. Viehmann E., “Truncations of Level 1 of Elements in the Loop Group of a Reductive Group”, Ann. Math., 179:3 (2014), 1009–1040  crossref  mathscinet  zmath  isi  scopus
    26. Bouthier A., “Dimension Des Fibres de Springer Affines Pour Les Groupes”, Transform. Groups, 20:3 (2015), 615–663  crossref  mathscinet  zmath  isi  elib  scopus
    27. He X., Nie S., “P-Alcoves, Parabolic Subalgebras and Cocenters of Affine Hecke Algebras”, Sel. Math.-New Ser., 21:3 (2015), 995–1019  crossref  mathscinet  zmath  isi  scopus
    28. Pink R., Wedhorn T., Ziegler P., “F-Zips With Additional Structure”, Pac. J. Math., 274:1 (2015), 183–236  crossref  mathscinet  zmath  isi  scopus
    29. He X., Lam T., “Projected Richardson Varieties and Affine Schubert Varieties”, Ann. Inst. Fourier, 65:6 (2015), 2385–2412  crossref  mathscinet  zmath  isi
    30. Goertz U. He X., “Basic Loci of Coxeter Type in Shimura Varieties”, Camb. J. Math., 3:3 (2015), 323–353  crossref  mathscinet  zmath  isi
    31. Lusztig G., “Nonsplit Hecke Algebras and Perverse Sheaves”, Sel. Math.-New Ser., 22:4, SI (2016), 1953–1986  crossref  mathscinet  zmath  isi  scopus
    32. He X. Rapoport M., “Stratifications in the Reduction of Shimura Varieties”, Manuscr. Math., 152:3-4 (2017), 317–343  crossref  mathscinet  zmath  isi  scopus
  • Moscow Mathematical Journal
    Number of views:
    This page:1283

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020