Characterisations of Poisson integrals on symmetric spaces.
Peter Sjögren (1981)
Mathematica Scandinavica
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Peter Sjögren (1981)
Mathematica Scandinavica
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Christoph Harrach (2016)
Archivum Mathematicum
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We give a construction of a Poisson transform mapping density valued differential forms on generalized flag manifolds to differential forms on the corresponding Riemannian symmetric spaces, which can be described entirely in terms of finite dimensional representations of reductive Lie groups. Moreover, we will explicitly generate a family of degree-preserving Poisson transforms whose restriction to real valued differential forms has coclosed images. In addition, as a transform on sections...
Jan-Olav Rönning (1998)
Mathematica Scandinavica
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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E. Nummelin (1991)
Mathematica Scandinavica
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Cowling, Michael, Giulini, Saverio, Meda, Stefano (1995)
Journal of Lie Theory
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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...
Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Ping Xu (2003)
Annales scientifiques de l'École Normale Supérieure
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G. Olafsson (1987)
Inventiones mathematicae
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Veronique Chloup (2000)
Banach Center Publications
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The aim of this paper is to give an overview concerning the problem of linearization of Poisson structures, more precisely we give results concerning Poisson-Lie groups and we apply those cohomological techniques to star products.