Description: Homological Algebra of Semimodules and Semicontramodules Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Semi-infinite Homological Algebra of Associative Algebraic Structures Author(s): Leonid Positselski Format: Hardback Publisher: Birkhauser Verlag AG, Switzerland Imprint: Birkhauser Verlag AG ISBN-13: 9783034604352, 978-3034604352 Synopsis ThesubjectofthisbookisSemi-In?niteAlgebra,ormorespeci?cally,Semi-In?nite Homological Algebra. The term "semi-in?nite" is loosely associated with objects that can be viewed as extending in both a "positive" and a "negative" direction, withsomenaturalpositioninbetween,perhapsde?nedupto a"?nite"movement. Geometrically, this would mean an in?nite-dimensional variety with a natural class of "semi-in?nite" cycles or subvarieties, having always a ?nite codimension in each other, but in?nite dimension and codimension in the whole variety [37]. (For further instances of semi-in?nite mathematics see, e. g. , [38] and [57], and references below. ) Examples of algebraic objects of the semi-in?nite type range from certain in?nite-dimensional Lie algebras to locally compact totally disconnected topolo- cal groups to ind-schemes of ind-in?nite type to discrete valuation ?elds. From an abstract point of view, these are ind-pro-objects in various categories, often - dowed with additional structures. One contribution we make in this monograph is the demonstration of another class of algebraic objects that should be thought of as "semi-in?nite", even though they do not at ?rst glance look quite similar to the ones in the above list. These are semialgebras over coalgebras, or more generally over corings - the associative algebraic structures of semi-in?nite nature. The subject lies on the border of Homological Algebra with Representation Theory, and the introduction of semialgebras into it provides an additional link with the theory of corings [23], as the semialgebrasare the natural objects dual to corings.
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Book Title: Homological Algebra of Semimodules and Semicontramodules
Number of Pages: 352 Pages
Publication Name: Homological Algebra of Semimodules and Semicontramodules: Semi-infinite Homological Algebra of Associative Algebraic Structures
Language: English
Publisher: Birkhauser Verlag A&G
Item Height: 235 mm
Subject: Mathematics
Publication Year: 2010
Type: Textbook
Item Weight: 798 g
Author: Leonid Positselski
Item Width: 155 mm
Series: Monografie Matematyczne
Format: Hardcover
