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A natural basis for spinor and vector fields on the noncommutative sphere

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

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A natural basis for spinor and vector fields on the noncommutative sphere. / Gratus, Jonathan.
In: Journal of Mathematical Physics, Vol. 39, No. 4, 04.1998, p. 2306-2324.

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

Harvard

Gratus, J 1998, 'A natural basis for spinor and vector fields on the noncommutative sphere', Journal of Mathematical Physics, vol. 39, no. 4, pp. 2306-2324. https://doi.org/10.1063/1.532299

APA

Gratus, J. (1998). A natural basis for spinor and vector fields on the noncommutative sphere. Journal of Mathematical Physics, 39(4), 2306-2324. https://doi.org/10.1063/1.532299

Vancouver

Gratus J. A natural basis for spinor and vector fields on the noncommutative sphere. Journal of Mathematical Physics. 1998 Apr;39(4):2306-2324. doi: 10.1063/1.532299

Author

Gratus, Jonathan. / A natural basis for spinor and vector fields on the noncommutative sphere. In: Journal of Mathematical Physics. 1998 ; Vol. 39, No. 4. pp. 2306-2324.

Bibtex

@article{aa82e56cf3224fe0980bdb84982a7dbb,
title = "A natural basis for spinor and vector fields on the noncommutative sphere",
abstract = "The product of two Heisenberg-Weil algebras contains the Jordan-Schwinger representation of su(2). This algebra is quotiented by the square-root of the Casimir to produce a nonassociative algebra denoted by Psi. This algebra may be viewed as the right-module over one of its associative subalgebras which corresponds to the algebra of scalar fields on the noncommutative sphere. It is now possible to interpret other subspaces as the space of spinor or vector fields on the noncommutative sphere. A natural basis of Psi is given which may be interpreted as the deformed entries in the rotation matrices of SU(2).",
keywords = "GEOMETRY",
author = "Jonathan Gratus",
year = "1998",
month = apr,
doi = "10.1063/1.532299",
language = "English",
volume = "39",
pages = "2306--2324",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "4",

}

RIS

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T1 - A natural basis for spinor and vector fields on the noncommutative sphere

AU - Gratus, Jonathan

PY - 1998/4

Y1 - 1998/4

N2 - The product of two Heisenberg-Weil algebras contains the Jordan-Schwinger representation of su(2). This algebra is quotiented by the square-root of the Casimir to produce a nonassociative algebra denoted by Psi. This algebra may be viewed as the right-module over one of its associative subalgebras which corresponds to the algebra of scalar fields on the noncommutative sphere. It is now possible to interpret other subspaces as the space of spinor or vector fields on the noncommutative sphere. A natural basis of Psi is given which may be interpreted as the deformed entries in the rotation matrices of SU(2).

AB - The product of two Heisenberg-Weil algebras contains the Jordan-Schwinger representation of su(2). This algebra is quotiented by the square-root of the Casimir to produce a nonassociative algebra denoted by Psi. This algebra may be viewed as the right-module over one of its associative subalgebras which corresponds to the algebra of scalar fields on the noncommutative sphere. It is now possible to interpret other subspaces as the space of spinor or vector fields on the noncommutative sphere. A natural basis of Psi is given which may be interpreted as the deformed entries in the rotation matrices of SU(2).

KW - GEOMETRY

U2 - 10.1063/1.532299

DO - 10.1063/1.532299

M3 - Journal article

VL - 39

SP - 2306

EP - 2324

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

ER -