Return to search

Operadické resolventy diagramů / Operadic resolutions of diagrams

of the Doctoral Thesis Operadic Resolutions of Diagrams by Martin Doubek We study resolutions of the operad AC describing diagrams of a given shape C in the category of algebras of a given type A. We prove the conjecture by Markl on constructing the resolution out of resolutions of A and C, at least in a certain restricted setting. For associative algebras, we make explicit the cohomology theory for the diagrams and recover Gerstenhaber-Schack diagram cohomology. In general, we show that the operadic cohomology is Ext in the category of operadic modules. 1

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:311620
Date January 2011
CreatorsDoubek, Martin
ContributorsMarkl, Martin, Somberg, Petr, Čadek, Martin
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/doctoralThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

Page generated in 0.0018 seconds