Coherent transform, quantization, and Poisson geometry

書誌事項

Coherent transform, quantization, and Poisson geometry

M. V. Karasev, editor

(American Mathematical Society translations, ser. 2, v. 187 . Advances in the mathematical sciences (formerly advances in Soviet mathematics) ; 40)

American Mathematical Society, c1998

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注記

Translated from the Russian

内容説明・目次

内容説明

This volume contains three extensive articles written by Karasev and his pupils. The topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.

目次

Non-Lie permutation relations, coherent states, and quantum embedding by M. Karasev and E. Novikova Adapted connections, Hamilton dynamics, geometric phases, and quantization over isotropic submanifolds by M. Karasev and Y. Vorobjev Infinitesimal Poisson cohomology by V. Itskov, M. Karasev, and Y. Vorobjev.

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  • American Mathematical Society translations

    American Mathematical Society 1955-

    Ser. 2, v. 1 , Ser. 2, v. 2 , Ser. 2, v. 3 , Ser. 2, v. 4 , Ser. 2, v. 5 , Ser. 2, v. 6 , Ser. 2, v. 7 , Ser. 2, v. 8 , Ser. 2, v. 9 , Ser. 2, v. 10 , Ser. 2, v. 11 , Ser. 2, v. 12 , Ser. 2, v. 13 , Ser. 2, v. 14 , Ser. 2, v. 15 , Ser. 2, v. 16 , Ser. 2, v. 17 , Ser. 2, v. 18

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