Dressing orbits and a quantum Heisenberg group algebra
| dc.creator | Kahng, Byung-Jay | |
| dc.date | 2002-10-31 | |
| dc.date | 2004-05-05 | |
| dc.date.accessioned | 2026-07-07T04:52:33Z | |
| dc.date.available | 2026-07-07T04:52:33Z | |
| dc.description | In this paper, as a generalization of Kirillov's orbit theory, we explore the relationship between the dressing orbits and irreducible *-representations of the Hopf C*-algebras (A,Δ) and (\tilde{A}, \tildeΔ) we constructed earlier. We discuss the one-to-one correspondence between them, including their topological aspects. On each dressing orbit (which are symplectic leaves of the underlying Poisson structure), one can define a Moyal-type deformed product at the function level. The deformation is more or less modeled by the irreducible representation corresponding to the orbit. We point out that the problem of finding a direct integral decomposition of the regular representation into irreducibles (Plancherel theorem) has an interesting interpretation in terms of these deformed products. | |
| dc.description | 25 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0211003 | |
| dc.identifier | http://arxiv.org/abs/math/0211003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65502 | |
| dc.subject | Operator Algebras | |
| dc.subject | Quantum Algebra | |
| dc.title | Dressing orbits and a quantum Heisenberg group algebra | |
| dc.type | text |