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Representations of the Quantized Function Algebras, 2-Categories and Zamolodchikov Tetrahedra Equation

In: The Gelfand Mathematical Seminars, 1990–1992

Author

Listed:
  • D. Kazhdan

    (Harvard University, Department of Mathematics)

  • Y. Soibelman

    (Harvard University, Department of Mathematics)

Abstract

For any complex simply connected simple Lie group G one can define a quantization $$\overline {\Bbb C} \left[ G \right]$$ of the algebra ℂ[G] regular functions on G as a Hopf algebra over the ring ℂ[q,q -1] of Laurent polynomials (see [Lu]). Let t be a nonzero complex number, and let ℂt be a one-dimensional complex vector space equipped with a structure of ℂ[q,q -1]-module such that q acts as multiplication on t.

Suggested Citation

  • D. Kazhdan & Y. Soibelman, 1993. "Representations of the Quantized Function Algebras, 2-Categories and Zamolodchikov Tetrahedra Equation," Springer Books, in: Israel M. Gelfand & Lawrence Corwin & James Lepowsky (ed.), The Gelfand Mathematical Seminars, 1990–1992, pages 163-171, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0345-2_10
    DOI: 10.1007/978-1-4612-0345-2_10
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