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r-Indecomposable and r-nearly decomposable matrices

โœ Scribed by Lihua You; Bolian Liu; Jian Shen


Book ID
104036336
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
230 KB
Volume
407
Category
Article
ISSN
0024-3795

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We study some general aspects of triangular dynamical r-matrices using Poisson geometry. We show that a triangular dynamical r-matrix r: h g 0 M 2 g always gives rise to a regular Poisson manifold. Using the Fedosov method, we prove that nondegenerate triangular dynamical r-matrices (i.e., those suc