Statistics and quantum group symmetries

Gaetano Fiore; Peter Schupp

Displaying similar documents to “Statistics and quantum group symmetries”

Quantum spacetime: a disambiguation.

Piacitelli, Gherardo (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Quantum fields on noncommutative spacetimes: theory and phenomenology.

Balachandran, Aiyalam P., Ibort, Alberto, Marmo, Giuseppe, Martone, Mario (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Quantum Painlevé equations: from continuous to discrete.

Nagoya, Hajime, Grammaticos, Basil, Ramani, Alfred (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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On quantum weyl algebras and generalized quons

WŁadysŁaw Marcinek (1997)

Banach Center Publications

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The model of generalized quons is described in an algebraic way as certain quasiparticle states with statistics determined by a commutation factor on an abelian group. Quantization is described in terms of quantum Weyl algebras. The corresponding commutation relations and scalar product are also given.

The symmetry algebra and conserved Currents for Klein-Gordon equation on quantum Minkowski space

MaŁgorzata Klimek (1997)

Banach Center Publications

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The symmetry operators for Klein-Gordon equation on quantum Minkowski space are derived and their algebra is studied. The explicit form of the Leibniz rules for derivatives and variables for the case Z=0 is given. It is applied then with symmetry operators to the construction of the conservation law and the explicit form of conserved currents for Klein-Gordon equation.

$κ$ -Minkowski spacetimes and DSR algebras: fresh look and old problems.

Borowiec, Andrzej, Pachol, Anna (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Wigner distribution functions and the representation of canonical transformations in time-dependent quantum mechanics.

Schuch, Dieter, Moshinsky, Marcos (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Riccati and Ermakov equations in time-dependent and time-independent quantum systems.

Schuch, Dieter (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Quantum potential and symmetries in extended phase space.

Nasiri, Sadollah (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Quantum isometries and group dual subgroups

Teodor Banica, Jyotishman Bhowmick, Kenny De Commer (2012)

Annales mathématiques Blaise Pascal

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We study the discrete groups $Λ$ whose duals embed into a given compact quantum group, $\hat{Λ} \subset G$ . In the matrix case $G \subset U_{n}^{+}$ the embedding condition is equivalent to having a quotient map $Γ_{U} \to Λ$ , where $F = {Γ_{U} ∣ U \in U_{n}}$ is a certain family of groups associated to $G$ . We develop here a number of techniques for computing $F$ , partly inspired from Bichon’s classification of group dual subgroups $\hat{Λ} \subset S_{n}^{+}$ . These results are motivated by Goswami’s notion of quantum isometry group, because a compact connected Riemannian manifold cannot...