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 title Project leader Project code Project type Nove geometrije za gravitaciju i prostor-vrijeme-GRASP Athanasios Chatzistavrakidis IP-2018-01-7615 HRZZ UNSPECIFIED UNSPECIFIED GA18-00496S UNSPECIFIED
Depositing User:	Daniel Meljanac
Date Deposited:	03 Dec 2019 11:38
URI:	http://fulir.irb.hr/id/eprint/5200
DOI:	10.3842/SIGMA.2019.082

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