Results 11 to 20 of about 660,880 (274)
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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Exchange dynamical quantum groups [PDF]
, 1999 For any simple Lie algebra g and any complex number q which is not zero or a nontrivial root of unity, we construct a dynamical quantum group (Hopf algebroid), whose representation theory is essentially the same as the representation theory of the ...
Etingof, Pavel, Varchenko, Alexander
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From quantum groups to Liouville and dilaton quantum gravity
Journal of High Energy Physics, 2022 We investigate the underlying quantum group symmetry of 2d Liouville and dilaton gravity models, both consolidating known results and extending them to the cases with N $$ \mathcal{N} $$ = 1 supersymmetry.
Yale Fan, Thomas G. Mertens
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From Quantum Automorphism of (Directed) Graphs to the Associated Multiplier Hopf Algebras
Mathematics, 2023 This is a noticeably short biography and introductory paper on multiplier Hopf algebras. It delves into questions regarding the significance of this abstract construction and the motivation behind its creation.
Farrokh Razavinia +1 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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