Quantized Heisenberg Space |
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| Authors: | Hans Plesner Jakobsen Hechun Zhang |
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| Affiliation: | (1) Mathematics Institute, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark. e-mail;(2) Dept. of Applied Math., Tsinghua University, Beijing, 100084, P.R. China. e-mail |
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| Abstract: | We investigate the algebra Fq(N) introduced by Faddeev, Reshetikhin and Takhadjian. In the case where q is a primitive root of unity, the degree, the center, and the set of irreducible representations are found. The Poisson structure is determined and the De Concini–Kac–Procesi Conjecture is proved for this case. |
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| Keywords: | quantum algebras ring theory representation theory symplectic leaves |
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