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On Quantum Relations. [PDF]

open access: yesEntropy (Basel)
Dubois F, Toffano Z.
europepmc   +1 more source

Note on the center of generalized quantum groups (Quantum groups and quantum topology)

open access: yesNote on the center of generalized quantum groups (Quantum groups and quantum topology)
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Squeezing and quantum groups

Physical Review Letters, 1991
Summary: Generalized quasicoherent states for the Weyl-Heisenberg quantum group have been defined by Biedenharn and MacFarlane. In this note other quantum Weyl-Heisenberg coherent states are defined for complex \(q\) in the usual Fock space. Such states are shown to exhibit interesting squeezing properties, in particular when \(\|q\|\approx 1\), for ...
E. Celeghini   +2 more
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Quantum groups

Journal of Soviet Mathematics, 1988
This is an extended version of the talk at International Mathematical Congress, 1986. It surveys Hopf algebras as an algebraic foundation of a quantum inverse scattering method. Numerous examples of Hopf algebras are given, and their connection with the quantum Yang-Baxter identity is explained.
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The Singularities of Quantum Groups

Proceedings of the London Mathematical Society, 2000
Motivated by the study by De Concini, Procesi and others of representations of quantum groups at roots of one, the author considers pairs \((H,C)\) where \(H\) is a complex prime Hopf algebra with center \(Z\) and \(C\) is a central Hopf subalgebra such that \(H\) is a finite \(C\)-module and \(Z\) is \(C\)-projective.
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QUANTUM GROUPS AND DUALITY

Reviews in Mathematical Physics, 1993
We present an approach to the duality theory for quantum groups which is explicitly modelled on the construction of the group C*-algebra C* (G) from C0 (G), namely: in the dual of C0 (G), single out the ideal of all elements absolutely continuous with respect to Haar measure, renorm with a C*-norm determined by the representations of this ideal, and ...
Gootman, Elliot C., Lazar, Aldo J.
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