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Titlebook: Introduction to Symplectic Geometry; Jean-Louis Koszul,Yi Ming Zou Textbook 2019 Springer Nature Singapore Pte Ltd. 2019 Symplectic Geomet

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Textbook 2019of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau‘s tools related to the non-equivariant case of co-adjoint action on Souriau’s moment map through Souriau’s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric.
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https://doi.org/10.1007/978-981-13-3987-5Symplectic Geometry; Cotangent Bundles; G-spaces; Poisson Manifolds; supermanifolds
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Jean-Louis Koszul,Yi Ming ZouOffers a unique and unified overview of symplectic geometry.Highlights the differential properties of symplectic manifolds.Great interest for the emerging field of "Geometric Science of Information
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Some Algebra Basics,We denote by . a finite-dimensional vector space over a field . of characteristic not equal to 2, and denote by . the vector space of skew-symmetric .-linear forms on . with values in
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