Results 11 to 20 of about 168,020 (318)
Presentations of projective quantum groups
Comptes Rendus. Mathématique, 2022 Given an orthogonal compact matrix quantum group defined by intertwiner relations, we characterize by relations its projective version. As a sample application, we prove that $PU_n^+=PO_n^+$.
Gromada, Daniel
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Quantum groups and polymer quantum mechanics [PDF]
Modern Physics Letters A, 2021 In Polymer Quantum Mechanics, a quantization scheme that naturally emerges from Loop Quantum Gravity, position and momentum operators cannot be both well defined on the Hilbert space [Formula: see text]. It is henceforth deemed impossible to define standard creation and annihilation operators.
Acquaviva G., Iorio A., Smaldone L.
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The Baum-Connes conjecture for free orthogonal quantum groups [PDF]
, 2011 We prove an analogue of the Baum–Connes conjecture for free orthogonal quantum groups. More precisely, we show that these quantum groups have a γ-element and that γ=1. It follows that free orthogonal quantum groups are K-amenable.
Voigt, C. +2 more
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AIP Conference Proceedings, 1994 These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992. They constitute a brief and elementary introduction to quantum symmetries from a physical point of view, along the lines of the forthcoming book by C. Gómez, G.
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Quantum Channels with Quantum Group Symmetry [PDF]
Communications in Mathematical Physics, 2022 In this paper we will demonstrate that any compact quantum group can be used as symmetry groups for quantum channels, which leads us to the concept of covariant channels. We, then, unearth the structure of the convex set of covariant channels by identifying all extreme points under the assumption of multiplicity-free condition for the associated fusion
Hun Hee Lee, Sang-Gyun Youn
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Hall algebras and quantum groups [PDF]
, 1990 Ringel CM. Hall algebras and quantum groups. Inventiones mathematicae.
Ringel, Claus Michael
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Finite quantum groups and quantum permutation groups
Advances in Mathematics, 2012 latex, 17 ...
Banica, Teodor +2 more
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Entanglement and quantum groups [PDF]
Journal of Mathematical Physics, 2009 We describe quantum mechanical entanglement in terms of compact quantum groups. We prove an analog of positivity of partial transpose criterion and formulate a Horodecki-type theorem.
Korbicz, J. K., Wehr, J., Lewenstein, M.
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Quantum stochastic convolution cocycles III [PDF]
, 2011 The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G. +3 more
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Quantum SU(2) and the Baum-Connes conjecture [PDF]
, 2012 We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group $ SU_q(2) $ of Woronowicz. As an illustration of this result we determine the $ K $-groups of quantum automorphism groups of simple matrix ...
Voigt, Christian
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