Geometric Models for Noncommutative Algebras pdf epub mobi txt 电子书下载 2024

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Ana Cannas da Silva

American Mathematical Society

2000-5-4

184

GBP 16.95

Paperback

9780821809525

图书标签: 数学 noncommunicator Algebra

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发表于2024-12-23

Geometric Models for Noncommutative Algebras epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Geometric Models for Noncommutative Algebras pdf epub mobi txt 电子书下载 2024

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The volume is based on a course, "Geometric Models for Noncommutative Algebras" taught by Professor Weinstein at Berkeley. Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, for example, the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this work, the authors discuss several types of geometric objects (in the usual sense of sets with structure) that are closely related to noncommutative algebras.

Central to the discussion are symplectic and Poisson manifolds, which arise when noncommutative algebras are obtained by deforming commutative algebras. The authors also give a detailed study of groupoids (whose role in noncommutative geometry has been stressed by Connes) as well as of Lie algebroids, the infinitesimal approximations to differentiable groupoids.

Featured are many interesting examples, applications, and exercises. The book starts with basic definitions and builds to (still) open questions. It is suitable for use as a graduate text. An extensive bibliography and index are included.

Geometric Models for Noncommutative Algebras 下载 mobi epub pdf txt 电子书

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Geometric Models for Noncommutative Algebras pdf epub mobi txt 电子书下载

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