Deformation Theory of Algebras and Their Diagrams

Auteur: Martin Markl
Taal: Engels
Deformation Theory of Algebras and Their Diagrams
  • Engels
  • Paperback
  • 9780821889794
  • november 2012
  • 129 pagina's
Alle productspecificaties

Samenvatting

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.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Paperback
Verschijningsdatum
2012-11-15
Aantal pagina's
129 pagina's
Illustraties
Nee

Betrokkenen

Auteur
Martin Markl
Uitgever
American Mathematical Society

EAN

EAN
9780821889794

Overige kenmerken

NUR code
910
Oorspronkelijke releasedatum
2012-11-15
Thema Subject Code
PBF

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Studieboek of algemeen
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