Results 21 to 30 of about 656,707 (276)
Quantum group sigma models [PDF]
Journal of Physics A: Mathematical and General, 1993 Comment: 20 ...
Frishman, Y. +2 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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Frobenius–Schur Indicator for Categories with Duality
Axioms, 2012 We introduce the Frobenius–Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius–Schur theorem including that for semisimple quasi-Hopf algebras, weak Hopf C*-algebras and ...
Kenichi Shimizu
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Polyadic Hopf Algebras and Quantum Groups
East European Journal of Physics, 2021 This article continues the study of concrete algebra-like structures in our polyadic approach, where the arities of all operations are initially taken as arbitrary, but the relations between them, the arity shapes, are to be found from some natural ...
S. Duplij
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Quantum reference frames for general symmetry groups [PDF]
Quantum, 2020 A fully relational quantum theory necessarily requires an account of changes of quantum reference frames, where quantum reference frames are quantum systems relative to which other systems are described.
Anne-Catherine de la Hamette +1 more
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Quantum Groups, Coherent States, Squeezing and Lattice Quantum Mechanics [PDF]
, 1993 By resorting to the Fock--Bargmann representation, we incorporate the quantum Weyl--Heisenberg ($q$-WH) algebra into the theory of entire analytic functions. The main tool is the realization of the $q$--WH algebra in terms of finite difference operators.
Celeghini +4 more
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Journal of Algebra, 2001 An entwining structure [\textit{T. Brzeziński} and \textit{S. Majid}, Commun. Math. Phys. 191, No. 2, 467-492 (1998; Zbl 0899.55016)] comprises an algebra \(A\), a coalgebra \(C\) and a linear map \(\psi\colon C\otimes A\to A\otimes C\), which is compatible with the multiplication and unit of \(A\), and the comultiplication and counit of \(C ...
Hobst, Daniela, Pareigis, Bodo
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Quantum group and quantum symmetry [PDF]
Physics Reports, 1995 This is a self-contained review on the theory of quantum group and its applications to modern physics. A brief introduction is given to the Yang-Baxter equation in integrable quantum field theory and lattice statistical physics. The quantum group is primarily introduced as a systematic method for solving the Yang-Baxter equation.
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Fixed Point Algebras for Easy Quantum Groups [PDF]
, 2016 Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg algebras. Hence they are completely determined by their $K$-groups.
Gabriel, Olivier, Weber, Moritz
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Cyclicity for categorified quantum groups [PDF]
, 2015 We equip the categorified quantum group attached to a KLR algebra and an arbitrary choice of scalars with duality functor which is cyclic, that is, such that f=f^** for all 2-morphisms f. This is accomplished via a modified diagrammatic formalism.Comment:
Beliakova, Anna +3 more
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