Gratus, Jonathan
(1999)
*'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations.*
Letters in Mathematical Physics, 47 (2).
pp. 97-109.
ISSN 0377-9017

## Abstract

A 'Wick rotation' is applied to a noncommutative sphere to produce a noncommutative version of the hyperboloids. A harmonic basis of the associated algebra is given. 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.

Item Type:

Journal Article

Journal or Publication Title:

Letters in Mathematical Physics

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2610

Subjects:

?? hyperboloidssurfaces of rotationsquantum riemann surfacesnoncommutative geometrymathematical physicsstatistical and nonlinear physics ??

Departments:

ID Code:

64129

Deposited By:

Deposited On:

09 May 2013 09:16

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Jul 2024 13:52