Hugendubel.info - Die B2B Online-Buchhandlung 

Merkliste
Die Merkliste ist leer.
Bitte warten - die Druckansicht der Seite wird vorbereitet.
Der Druckdialog öffnet sich, sobald die Seite vollständig geladen wurde.
Sollte die Druckvorschau unvollständig sein, bitte schliessen und "Erneut drucken" wählen.
BuchGebunden
636 Seiten
Englisch
Springererschienen am07.08.2012
Since higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers.mehr
Verfügbare Formate
BuchGebunden
EUR58,84
BuchKartoniert, Paperback
EUR58,84
E-BookPDF1 - PDF WatermarkE-Book
EUR128,39

Produkt

KlappentextSince higher algebra is becoming essential in several research areas like deformation theory, algebraic geometry, representation theory, differential geometry, algebraic combinatorics, and mathematical physics, the book can also be used as a reference work by researchers.
ZusammenfassungThis book offers a comprehensive and systematic approach to algebraic operads. It features an emphasis on the Koszul duality theory and gives applications to homotopy algebra. Includes examples, exercises, figures, as well as helpful chapter summaries.
Details
ISBN/GTIN978-3-642-30361-6
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2012
Erscheinungsdatum07.08.2012
ReiheGrundlehren der mathematischen Wissenschaften
Seiten636 Seiten
SpracheEnglisch
Gewicht1150 g
IllustrationenXXIV, 636 p.
Artikel-Nr.15285443

Inhalt/Kritik

Inhaltsverzeichnis
Preface.- 1.Algebras, coalgebras, homology.- 2.Twisting morphisms.- 3.Koszul duality for associative algebras.- 4.Methods to prove Koszulity of an algebra.- 5.Algebraic operad.- 6 Operadic homological algebra.- 7.Koszul duality of operads.- 8.Methods to prove Koszulity of an operad.- 9.The operads As and A\infty.- 10.Homotopy operadic algebras.- 11.Bar and cobar construction of an algebra over an operad.- 12.(Co)homology of algebras over an operad.- 13.Examples of algebraic operads.- Apendices: A.The symmetric group.- B.Categories.- C.Trees.- References.- Index.- List of Notation.mehr
Kritik
From the reviews:
"It is a welcome addition to the existing literature and will, no doubt, become a standard reference for many authors working in this quickly developing field. ... it is an impressive piece of work, which gives a comprehensive account of the foundations of the theory of algebraic operads, starting from the most basic notions, such as associative algebras and modules. It will be of interest to a broad swath of mathematicians: from undergraduate students to experts in the field." (Andrey Yu. Lazarev, Mathematical Reviews, March, 2013)mehr

Autor


Jean-Louis Loday has worked in algebraic K-theory, algebraic topology, noncommutative geometry and higher algebra. He is the author of "Cyclic Homology" a worldwide reference, published as volume 301 in the Grundleheren der mathematischen Wissenschadften. He is an editor of several mathematical journals and several Proceedings. He has organized six of the annual conferences "Operads 20xx" (starting in 2004).

Bruno Vallette has worked on operads since his first years in mathematical research. He is the author of 10 research articles and a specialist of properads and of Batalin-Vilkovisky algebras.

Loday and Vallette organized several summer schools and international conferences on the subject (France, China, Norway) and published the Proceedings of these conferences.
Weitere Artikel von
Vallette, Bruno