Star product realizations of kappa-Minkowski space

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Standard

Star product realizations of kappa-Minkowski space. / Durhuus, Bergfinnur; Sitarz, Andrzej .

In: Journal of Noncommutative Geometry, Vol. 7, No. 3, 2013, p. 605-645.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Durhuus, B & Sitarz, A 2013, 'Star product realizations of kappa-Minkowski space', Journal of Noncommutative Geometry, vol. 7, no. 3, pp. 605-645. https://doi.org/10.4171/JNCG/129

APA

Durhuus, B., & Sitarz, A. (2013). Star product realizations of kappa-Minkowski space. Journal of Noncommutative Geometry, 7(3), 605-645. https://doi.org/10.4171/JNCG/129

Vancouver

Durhuus B, Sitarz A. Star product realizations of kappa-Minkowski space. Journal of Noncommutative Geometry. 2013;7(3):605-645. https://doi.org/10.4171/JNCG/129

Author

Durhuus, Bergfinnur ; Sitarz, Andrzej . / Star product realizations of kappa-Minkowski space. In: Journal of Noncommutative Geometry. 2013 ; Vol. 7, No. 3. pp. 605-645.

Bibtex

@article{f55402118d1c435da093587fc91e0997,
title = "Star product realizations of kappa-Minkowski space",
abstract = "We define a family of star products and involutions associated with κ -Minkowski space. Applying corresponding quantization maps we show that these star products restricted to a certain space of Schwartz functions have isomorphic Banach algebra completions. For two particular star products it is demonstrated that they can be extended to a class of polynomially bounded smooth functions allowing a realization of the full Hopf algebra structure on κ -Minkowski space. Furthermore, we give an explicit realization of the action of the κ -Poincar{\'e} algebra as an involutive Hopf algebra on this representation of κ -Minkowski space and initiate a study of its properties. ",
author = "Bergfinnur Durhuus and Andrzej Sitarz",
year = "2013",
doi = "10.4171/JNCG/129",
language = "English",
volume = "7",
pages = "605--645",
journal = "Journal of Noncommutative Geometry",
issn = "1661-6952",
publisher = "European Mathematical Society Publishing House",
number = "3",

}

RIS

TY - JOUR

T1 - Star product realizations of kappa-Minkowski space

AU - Durhuus, Bergfinnur

AU - Sitarz, Andrzej

PY - 2013

Y1 - 2013

N2 - We define a family of star products and involutions associated with κ -Minkowski space. Applying corresponding quantization maps we show that these star products restricted to a certain space of Schwartz functions have isomorphic Banach algebra completions. For two particular star products it is demonstrated that they can be extended to a class of polynomially bounded smooth functions allowing a realization of the full Hopf algebra structure on κ -Minkowski space. Furthermore, we give an explicit realization of the action of the κ -Poincaré algebra as an involutive Hopf algebra on this representation of κ -Minkowski space and initiate a study of its properties.

AB - We define a family of star products and involutions associated with κ -Minkowski space. Applying corresponding quantization maps we show that these star products restricted to a certain space of Schwartz functions have isomorphic Banach algebra completions. For two particular star products it is demonstrated that they can be extended to a class of polynomially bounded smooth functions allowing a realization of the full Hopf algebra structure on κ -Minkowski space. Furthermore, we give an explicit realization of the action of the κ -Poincaré algebra as an involutive Hopf algebra on this representation of κ -Minkowski space and initiate a study of its properties.

U2 - 10.4171/JNCG/129

DO - 10.4171/JNCG/129

M3 - Journal article

VL - 7

SP - 605

EP - 645

JO - Journal of Noncommutative Geometry

JF - Journal of Noncommutative Geometry

SN - 1661-6952

IS - 3

ER -

ID: 103901755