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Deformation Theory Of Algebras And Their Diagrams Martin Markl

Name: Deformation Theory Of Algebras And Their Diagrams Martin Markl
SKU: BELL-49540356
Price: 31.00 USD
Availability: InStock
Rating: 5 (88 reviews)

SKU: BELL-49540356

$ 31.00 ~~$ 45.00~~ (-31%)

5.0

88 reviews

Deformation Theory Of Algebras And Their Diagrams Martin Markl instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 1.52 MB

Author: Martin Markl

ISBN: 9780821889794, 0821889796

Language: English

Year: 2012

Product desciption

Deformation Theory Of Algebras And Their Diagrams Martin Markl by Martin Markl 9780821889794, 0821889796 instant download after payment.

This book brings together both the classical and current aspects of deformation theory. The presentation is mostly self-contained, assuming only basic knowledge of commutative algebra, homological algebra and category theory. In the interest of readability, some technically complicated proofs have been omitted when a suitable reference was available. The relation between the uniform continuity of algebraic maps and topologized tensor products is explained in detail, however, as this subject does not seem to be commonly known and the literature is scarce. The exposition begins by recalling Gerstenhaber's classical theory for associative algebras. The focus then shifts to a homotopy-invariant setup of Maurer-Cartan moduli spaces. As an application, Kontsevich's approach to deformation quantization of Poisson manifolds is reviewed. Then, after a brief introduction to operads, a strongly homotopy Lie algebra governing deformations of (diagrams of) algebras of a given type is described, followed by examples and generalizations.