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Titlebook: Quantum Groups; Proceedings of Works Petr P. Kulish Conference proceedings 1992 Springer-Verlag Berlin Heidelberg 1992 Quantum Algebras.Qua

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0075-8434 s inside Kac-Moody Algebras.- J.-L. Gervais: QuantumGroup Symmetry of 2D Gravity.- T. Kohno: Invariants of3-Manifolds Based on Conformal Field Theory and Heegaa978-3-540-55305-2978-3-540-47020-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Conference proceedings 1992ants in topology,q-special functions, conformal field theory,quantumintegrable models. The aim of the Euler Institute‘sworkshops was to review and compile the progress achieved inthe different subfields. Near 100 participants came from 14countries. More than 20 contributionswritten up for thisbook c
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Rank of quantum groups and braided groups in dual form,dual quasitriangular Hopf algebra . gives rise to such a braided group .. We give the example of the braided group .(2) in detail. We also give the rank of quantum groups in dual form and explain its connection with the partition function of simple quantum systems.
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Real and imaginary forms of quantum groups,other definition is proposed, which essentially coincides with the previous one for .∈ℝ and yields new examples for |.|=1. The last case is important because of applications of quantum groups to conformal field theory.
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Rank of quantum groups and braided groups in dual form,s associated a braided group Aut(.) of braided-commutative “co-ordinate functions” analogous to the ring of functions on a group or supergroup. Every dual quasitriangular Hopf algebra . gives rise to such a braided group .. We give the example of the braided group .(2) in detail. We also give the ra
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,Yangians of the “strange” lie superalgebras,isms π and −π o ., where . denotes the amtrix supertransposition, are involutory. Dissimilarly to the even case, .acquires a natural superalgebra structure. A quantization of the co-Poisson Hopf superalgebra ..is constructed. It gives rise to new solutions of the Yang-Baxter equation.
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