Communications in Mathematical Physics

, Volume 229, Issue 2, pp 271–292 | Cite as

Coinvariants for Lattice VOAs and q-Supernomial Coefficients

  • B.L. Feigin
  • S.A. Loktev
  • I.Yu. Tipunin


 We propose an alternative definition of the $q$-supernomial coefficients as the characters of coinvariants for the one–dimensional lattice vertex operator algebras. This provides a new formula for the q-supernomial coefficients. We also prove that the spaces of the coinvariants form a bundle over the configuration space of complex points on Riemann surfaces (the configuration space includes the diagonals).


Riemann Surface Vertex Operator Operator Algebra Configuration Space Alternative Definition 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • B.L. Feigin
    • 1
  • S.A. Loktev
    • 2
  • I.Yu. Tipunin
    • 3
  1. 1.Landau Institute for Theoretical Physics, Russian Academy of Sciences, 142432 Russia, Moscow Region, ChernogolovkaRU
  2. 2.Institute for Theoretical and Experimental Physics, B. Cheremushkinskaja, 25, 117259 Moscow, Russia and Independent University of Moscow, Bolshoi Vlasevksy Pereulok, 11, 121002, Moscow, RussiaRU
  3. 3.Tamm Theory Division, Lebedev Physics Institute, Russian Academy of Sciences, Leninsky pr., 53, 117924 RussiaRU

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