Quantum Heisenberg groups and Sklyanin algebras

Details Quantum Heisenberg groups and Sklyanin algebras Quantum Heisenberg groups and Sklyanin algebras

1993-05-10

arxiv.org/abs/hep-th/9305036v2

Lett.Math.Phys. 31 (1994) 167-178

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1007/BF00761709

We define new quantizations of the Heisenberg group by introducing new quantizations in the universal enveloping algebra of its Lie algebra. Matrix coefficients of the Stone--von Neumann representation are preserved by these new multiplications on the algebra of functions on the Heisenberg group. Some of the new quantizations provide also a new multiplication in the algebra of theta functions; we obtain in this way Sklyanin algebras.

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