Deformation Theory of Algebras and Their Diagrams (CBMS Regional Conference Series in Mathematics) - Softcover

Markl, Martin

Softcover

ISBN 10: 0821889796 ISBN 13: 9780821889794

Verlag: American Mathematical Society, 2012

Über diesen Titel

Reseña del editor

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.

Reseña del editor

Covers ten lectures given by the author at the NSF-CBMS Regional Conference in the Mathematical Sciences on Deformation Theory of Algebras and Modules held at North Carolina State University, Raleigh, NC, May 16-20, 2011.

Über diese Auflage

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2012
• ISBN 10: 0821889796
• ISBN 13: 9780821889794
• Einband: Tapa blanda
• Anzahl der Seiten: 129