Geometric Models for Noncommutative Algebras 2024 pdf epub mobi 电子书

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发表于2024-12-23

Geometric Models for Noncommutative Algebras 2024 pdf epub mobi 电子书

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群胚（groupoid）是非交换数学的一个基本研究对象，下面我们先给出其公理性定义，并用范畴语言做一个等价刻画，再比较一下群胚与群的差别，然后给出李群胚（Lie groupoid）的概念，比较它与纤维束（fibre bundle）之间的差别，最后给出李代数胚（Lie algebroid）的概念，并...

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出版者:American Mathematical Society

作者:Ana Cannas da Silva

出品人:

页数:184

译者:

出版时间:2000-5-4

价格:GBP 16.95

装帧:Paperback

isbn号码:9780821809525

丛书系列:

图书标签: 数学 noncommunicator Algebra

Geometric Models for Noncommutative Algebras 2024 pdf epub mobi 电子书图书描述

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 2024 pdf epub mobi 电子书

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