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'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations. / Gratus, Jonathan.
In: Letters in Mathematical Physics, Vol. 47, No. 2, 01.1999, p. 97-109.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Gratus, J 1999, ''Wick rotations': The noncommutative hyperboloids and other surfaces of rotations', Letters in Mathematical Physics, vol. 47, no. 2, pp. 97-109. https://doi.org/10.1023/A:1007557519016

APA

Gratus, J. (1999). 'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations. Letters in Mathematical Physics, 47(2), 97-109. https://doi.org/10.1023/A:1007557519016

Vancouver

Gratus J. 'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations. Letters in Mathematical Physics. 1999 Jan;47(2):97-109. doi: 10.1023/A:1007557519016

Author

Gratus, Jonathan. / 'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations. In: Letters in Mathematical Physics. 1999 ; Vol. 47, No. 2. pp. 97-109.

Bibtex

@article{0b4485152e7446e98f7868b3ce50a1d3,
title = "'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations",
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.",
keywords = "hyperboloids, surfaces of rotations, QUANTUM RIEMANN SURFACES, noncommutative geometry",
author = "Jonathan Gratus",
year = "1999",
month = jan,
doi = "10.1023/A:1007557519016",
language = "English",
volume = "47",
pages = "97--109",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer Netherlands",
number = "2",

}

RIS

TY - JOUR

T1 - 'Wick rotations': The noncommutative hyperboloids and other surfaces of rotations

AU - Gratus, Jonathan

PY - 1999/1

Y1 - 1999/1

N2 - 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.

AB - 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.

KW - hyperboloids

KW - surfaces of rotations

KW - QUANTUM RIEMANN SURFACES

KW - noncommutative geometry

U2 - 10.1023/A:1007557519016

DO - 10.1023/A:1007557519016

M3 - Journal article

VL - 47

SP - 97

EP - 109

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 2

ER -