Quantum Heisenberg groups and Sklyanin algebras
High Energy Physics - Theory
2009-10-22 v2 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9305036,
title = {Quantum Heisenberg groups and Sklyanin algebras},
author = {Nicolas Andruskiewitsch and Jorge Devoto and Alejandro Tiraboschi},
journal= {arXiv preprint arXiv:hep-th/9305036},
year = {2009}
}
Comments
13 pages