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An application of TQFT to modular representation theory

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  • معلومة اضافية
    • Contributors:
      Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG); Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Université Pierre et Marie Curie - Paris 6 (UPMC); Institut de Mathématiques de Jussieu - Paris Rive Gauche ( IMJ-PRG ); Université Pierre et Marie Curie - Paris 6 ( UPMC ) -Université Paris Diderot - Paris 7 ( UPD7 ) -Centre National de la Recherche Scientifique ( CNRS ); Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
    • بيانات النشر:
      Springer Science and Business Media LLC, 2017.
    • الموضوع:
      2017
    • نبذة مختصرة :
      For p>3 a prime, and g>2 an integer, we use Topological Quantum Field Theory (TQFT) to study a family of p-1 highest weight modules L_p(lambda) for the symplectic group Sp(2g,K) where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of L_p(lambda) for these highest weights.
      24 pages, 3 figures. v2: Lemma 3.1 and Appendix A added
    • File Description:
      application/pdf
    • ISSN:
      1432-1297
      0020-9910
    • الرقم المعرف:
      10.1007/s00222-017-0734-4
    • الرقم المعرف:
      10.1007/s00222-017-0734-4⟩
    • الرقم المعرف:
      10.1007/s00222-017-0734-4〉
    • Rights:
      OPEN
    • الرقم المعرف:
      edsair.doi.dedup.....ef9debc307db7b346ff2880262dabed0