Deformation Theory of Algebras and Their Diagrams is popular PDF and ePub book, written by Martin Markl in 2012, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Deformation Theory of Algebras and Their Diagrams can be Read Online from any device for your convenience.
Deformation Theory of Algebras and Their Diagrams Book PDF Summary
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.
Detail Book of Deformation Theory of Algebras and Their Diagrams PDF
- Author : Martin Markl
- Release : 01 July 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821889794
- Genre : Mathematics
- Total Page : 129 pages
- Language : English
- PDF File Size : 8,5 Mb
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