Results 11 to 20 of about 662,538 (324)
Tensor Network Renormalization with Fusion Charges—Applications to 3D Lattice Gauge Theory
Universe, 2020 Tensor network methods are powerful and efficient tools for studying the properties and dynamics of statistical and quantum systems, in particular in one and two dimensions.
William J. Cunningham +2 more
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Non-Archimedean quantum mechanics via quantum groups
Nuclear Physics B, 2022 We present a new non-Archimedean realization of the Fock representation of the q-oscillator algebras where the creation and annihilation operators act on complex-valued functions, which are defined on a non-Archimedean local field of arbitrary ...
W.A. Zúñiga-Galindo
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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
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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 la Schwinger to ...
LERDA, Alberto, S. SCIUTO
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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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C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups [PDF]
International Journal of Mathematics, 1997 We associate to an algebraic quantum group a C*-algebraic quantum group and show that this C*-algebraic quantum group essentially satisfies an upcoming definition of Masuda, Nakagami and Woronowicz.
Kustermans, J., Van Daele, A.
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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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Introduction to quantum groups [PDF]
, 1997 We give an elementary introduction to the theory of algebraic and topological quantum groups (in the spirit of S. L. Woronowicz). In particular, we recall the basic facts from Hopf (*-) algebra theory, theory of compact (matrix) quantum groups and the ...
Muller, E., Podles, P.
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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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Quantum group sigma models [PDF]
Journal of Physics A: Mathematical and General, 1993 Comment: 20 ...
Frishman, Y. +2 more
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