Heisenberg Doubles for Snyder-Type Models

Meljanac, Stjepan; Pachol, Anna (2021) Heisenberg Doubles for Snyder-Type Models. Symmetry, 13 (6). ISSN 2073-8994

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Abstract

A Snyder model generated by the noncommutative coordinates and Lorentz generators closes a Lie algebra. The application of the Heisenberg double construction is investigated for the Snyder coordinates and momenta generators. This leads to the phase space of the Snyder model. Further, the extended Snyder algebra is constructed by using the Lorentz algebra, in one dimension higher. The dual pair of extended Snyder algebra and extended Snyder group is then formulated. Two Heisenberg doubles are considered, one with the conjugate tensorial momenta and another with the Lorentz matrices. Explicit formulae for all Heisenberg doubles are given.

Item Type:	Article
Uncontrolled Keywords:	Snyder spacetime ; Heisenberg double ; realization ; Hopf algebra
Subjects:	NATURAL SCIENCES > Mathematics NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Stjepan Meljanac
Date Deposited:	01 Feb 2022 13:54
URI:	http://fulir.irb.hr/id/eprint/6942
DOI:	10.3390/sym13061055

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