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

In: Nankai Symposium on Mathematical Dialogues

Author

Listed:
  • A. A. Gerasimov

    (Institute for Information Transmission Problems, RAS, Laboratory for Quantum Field Theory and Information
    Interdisciplinary Scientific Center J.-V. Poncelet (CNRS UMI 2615))

  • D. R. Lebedev

    (Institute for Information Transmission Problems, RAS, Laboratory for Quantum Field Theory and Information
    Moscow Center for Continuous Mathematical Education)

  • S. V. Oblezin

    (University of Nottingham, School of Mathematical Sciences)

Abstract

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.

Suggested Citation

  • A. A. Gerasimov & D. R. Lebedev & S. V. Oblezin, 2026. "On a Matrix Element Representation of Special Functions Associated with Toric Varieties," Springer Books, in: Yang-Hui He & Mo-Lin Ge & Cheng-Ming Bai & Jiakang Bao & Edward Hirst (ed.), Nankai Symposium on Mathematical Dialogues, pages 163-168, Springer.
    • Handle: RePEc:spr:sprchp:978-981-19-2328-9_18
    DOI: 10.1007/978-981-19-2328-9_18
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