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

D. Kazhdan and Y. Soibelman
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D. Kazhdan: Harvard University, Department of Mathematics
Y. Soibelman: Harvard University, Department of Mathematics

A chapter in The Gelfand Mathematical Seminars, 1990–1992, 1993, pp 163-171 from Springer

Abstract: 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.

Date: 1993
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DOI: 10.1007/978-1-4612-0345-2_10

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