"Wick Rotations": The Noncommutative Hyperboloids, and other surfaces of rotations
| dc.creator | Gratus, Jonathan | |
| dc.date | 1998-01-08 | |
| dc.date.accessioned | 2026-07-07T05:23:32Z | |
| dc.date.available | 2026-07-07T05:23:32Z | |
| dc.description | A ``Wick rotation'' is applied to the noncommutative sphere to produce a noncommutative version of the hyperboloids. A harmonic basis of the associated algebra is given. It is noted that, for the one sheeted hyperboloid, the vector space for the noncommutative algebra can be completed to a Hilbert space, where multiplication is not continuous. A method of constructing noncommutative analogues of surfaces of rotation, examples of which include the paraboloid and the $q$-deformed sphere, is given. Also given are mappings between noncommutative surfaces, stereographic projections to the complex plane and unitary representations. A relationship with one dimensional crystals is highlighted. | |
| dc.description | Latex, 12 pages, 0 figures, submitted to Lett. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/math/9801036 | |
| dc.identifier | http://arxiv.org/abs/math/9801036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76472 | |
| dc.subject | Quantum Algebra | |
| dc.title | "Wick Rotations": The Noncommutative Hyperboloids, and other surfaces of rotations | |
| dc.type | text |