On Poisson's Series of Trials
E.D. Pepper (1929)
Mathematische Annalen
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E.D. Pepper (1929)
Mathematische Annalen
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Hermann Hueber (1984)
Mathematische Annalen
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Michel Lassalle (1984)
Mathematische Annalen
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Lobachevskii Journal of Mathematics
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Domingo A. Herrero (1978)
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Mathematische Annalen
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