We develop representation theory approach to the study of special functions associated with toric varieties. In particular we show that the corresponding special functions are given by matrix elements of certain non-reductive Lie algebras.

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On a Matrix Element Representation of Special Functions Associated with Toric Varieties

  • A. A. Gerasimov,
  • D. R. Lebedev,
  • S. V. Oblezin

摘要

We develop representation theory approach to the study of special functions associated with toric varieties. In particular we show that the corresponding special functions are given by matrix elements of certain non-reductive Lie algebras.