Isomorphisms of Some Complex Poisson Brackets |
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| Authors: | Andriy Panasyuk |
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| Institution: | (1) Department of Mathematics and Mechanics, L'viv State University, Universytets'ka St. 1, 290602 L'viv, Ukraine;(2) Present address: Division of Mathematical Methods in Physics, University of Warsaw, Hoza St. 74, 00-682 Warsaw, Poland |
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| Abstract: | Given a complex manifold Mi, structures of Poisson algebras on  (Mi)=C (Mi,C) which are associated with a nondegenerate  -closed (2,0)-form  i on Mi are considered. It is shown that every isomorphism of Poisson structures (M1)  (M2) is generated by a biholomorphic map  :M2 M1 such that 2 = *1 |
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| Keywords: | complex infinite dimensional Lie algebras Lie algebras of vector fields local Lie algebras |
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