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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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Quantum Groups978-3-540-47020-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
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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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,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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