Research output: Contribution to Journal/Magazine › Journal article › peer-review
<mark>Journal publication date</mark> | 01/1999 |
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<mark>Journal</mark> | Letters in Mathematical Physics |
Issue number | 2 |
Volume | 47 |
Number of pages | 13 |
Pages (from-to) | 97-109 |
Publication Status | Published |
<mark>Original language</mark> | English |
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.