Cargando…

Homological Algebra of Semimodules and Semicontramodules

This is a monograph in semi-infinite homological algebra, concentrated mostly on the semi-infinite theory of associative algebraic structures, but including also some material on the semi-infinite homology and cohomology of Lie algebras and topological groups. The main objects of study are the doubl...

Descripción completa

Detalles Bibliográficos
Autor principal: Positselski, Leonid
Lenguaje:eng
Publicado: Springer 2010
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-0346-0436-9
http://cds.cern.ch/record/1412747
Descripción
Sumario:This is a monograph in semi-infinite homological algebra, concentrated mostly on the semi-infinite theory of associative algebraic structures, but including also some material on the semi-infinite homology and cohomology of Lie algebras and topological groups. The main objects of study are the double-sided derived functors SemiExt and SemiTor, and the phenomenon of comodule-contramodule correspondence, connecting them with the more conventional, one-sided Ext and CtrTor. Contramodules, introduced originally by Eilenberg and Moore in 1960's but almost forgotten for four decades, play a very pro