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One parameter family of Jordanian twists

Meljanac, Daniel; Meljanac, Stjepan; Škoda, Zoran; Štrajn, Rina (2019) One parameter family of Jordanian twists. Symmetry, Integrability and Geometry: Methods and Applications, 15 . ISSN 1815-0659

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Abstract

We propose an explicit generalization of the Jordanian twist proposed in r-symmetrized form by Giaquinto and Zhang. It is proved that this generalization satisfies the 2-cocycle condition. We present explicit formulas for the corresponding star product and twisted coproduct. Finally, we show that our generalization coincides with the twist obtained from the simple Jordanian twist by twisting by a 1-cochain.

Item Type: Article
Uncontrolled Keywords: noncommutative geometry ; Jordanian twist
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Division of Materials Physics
Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
Nove geometrije za gravitaciju i prostor-vrijeme-GRASPAthanasios ChatzistavrakidisIP-2018-01-7615HRZZ
UNSPECIFIEDUNSPECIFIEDGA18-00496SUNSPECIFIED
Depositing User: Daniel Meljanac
Date Deposited: 03 Dec 2019 11:38
Last Modified: 03 Dec 2019 11:39
URI: http://fulir.irb.hr/id/eprint/5200
DOI: 10.3842/SIGMA.2019.082

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