Duality on the quantum space(3) with two parameters

• Authors: Muttalip Özavşar , Gürsel Yeşilot
• Languages of publication: EN

Abstracts

EN

In this study, we introduce a dual Hopf algebra in the sense of Sudbery for the quantum space(3) whose coordinates satisfy the commutation relations with two parameters and we show that the dual algebra is isomorphic to the quantum Lie algebra corresponding to the Cartan-Maurer right invariant differential forms on the quantum space(3). We also observe that the quantum Lie algebra generators are commutative as those of the undeformed Lie algebra and the deformation becomes apparent when one studies the Leibniz rules for the generators.

Keywords

EN

quantum space; Hopf algebra; dual Hopf algebra; quantum Lie algebra

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 5
• Pages: 1221-1227

Dates

published

1 - 10 - 2012

online

21 - 11 - 2012

Contributors

author

Muttalip Özavşar

• Department of Mathematics, Yildiz Technical University, Campus of Davutpasa, 34210, Istanbul, Turkey

author

Gürsel Yeşilot

• Department of Mathematics, Yildiz Technical University, Campus of Davutpasa, 34210, Istanbul, Turkey

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Identifiers

DOI

10.2478/s11534-012-0092-1