Results 11 to 20 of about 22,579,506 (332)
Quantum Groups and Quantum Cohomology [PDF]
Astérisque, 2012 In this paper, we study the classical and quantum equivariant cohomology of Nakajima quiver varieties for a general quiver Q. Using a geometric R-matrix formalism, we construct a Hopf algebra Y_Q, the Yangian of Q, acting on the cohomology of these ...
D. Maulik, A. Okounkov
semanticscholar +5 more sources
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 stochastic convolution cocycles II [PDF]
, 2008 Schurmann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras.
Skalski, Adam G., Lindsay, J. Martin
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Quantum Dissipation and Quantum Groups [PDF]
Annals of Physics, 1995 to appear in Annals of Physics (N.Y.)
Iorio, Alfredo, Vitiello, Giuseppe
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Anyons and quantum groups [PDF]
Nuclear Physics B, 1993 Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with $q$-oscillators, are then combined à la Schwinger to ...
LERDA, Alberto, S. SCIUTO
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THE QUANTUM GALILEI GROUP [PDF]
Modern Physics Letters A, 1995 The quantum Galilei group Gκ is defined. The bicross-product structure of Gκ and the corresponding Lie algebra is revealed. The projective representations for two-dimensional quantum Galilei group are constructed.
Giller, S. +3 more
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From Quantum Groups to Groups [PDF]
Canadian Journal of Mathematics, 2013 AbstractIn this paper we use the recent developments in the representation theory of locally compact quantum groups, to assign to each locally compact quantum group 𝔾 a locally compact group 𝔾˜ that is the quantum version of point-masses and is an invariant for the latter. We show that “quantum point-masses” can be identified with several other locally
Kalantar, Mehrdad, Neufang, Matthias
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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
doaj +1 more source
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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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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