Geometric Models for Noncommutative Algebras

作者: Alan Weinstein , Ana Cannas da Silva

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摘要: UNIVERSAL ENVELOPING ALGEBRAS Algebraic constructions The Poincare-Birkhoff-Witt theorem POISSON GEOMETRY Poisson structures Normal forms Local geometry CATEGORY maps Hamiltonian actions DUAL PAIRS Operator algebras Dual pairs in Examples of symplectic realizations GENERALIZED FUNCTIONS Group Densities GROUPOIDS Groupoids Groupoid Extended groupoid ALGEBROIDS Lie algebroids Differential for DEFORMATIONS OF deformation theory Weyl Deformation quantization.

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