By Ana Cannas da Silva

The quantity relies on a path, "Geometric versions for Noncommutative Algebras" taught via Professor Weinstein. Noncommutative geometry is the research of noncommutative algebras as though they have been algebras of services on areas, for instance, the commutative algebras linked to affine algebraic types, differentiable manifolds, topological areas, and degree areas. during this paintings, the authors talk about different types of geometric items (in the standard feel of units with constitution) which are heavily concerning noncommutative algebras. significant to the dialogue are symplectic and Poisson manifolds, which come up while noncommutative algebras are acquired by way of deforming commutative algebras. The authors additionally provide an in depth examine of groupoids (whose position in noncommutative geometry has been under pressure by way of Connes) in addition to of Lie algebroids, the infinitesimal approximations to differentiable groupoids. Featured are many fascinating examples, purposes, and workouts. The ebook starts off with uncomplicated definitions and builds to (still) open questions. it's compatible to be used as a graduate textual content and an in depth bibliography and index are incorporated.

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