000			03818nam a22004455i 4500
001			u373024
003			SIRSI
005			20160812084126.0
007			cr nn 008mamaa
008			100907s2010 sz | s |||| 0|eng d
020			_a9783034604369 _9978-3-0346-0436-9
040			_cMX-MeUAM
050		4	_aQA614-614.97
082	0	4	_a514.74 _223
100	1		_aPositselski, Leonid. _eauthor.
245	1	0	_aHomological Algebra of Semimodules and Semicontramodules _h[recurso electrónico] : _bSemi-infinite Homological Algebra of Associative Algebraic Structures / _cby Leonid Positselski.
264		1	_aBasel : _bSpringer Basel, _c2010.
300			_aXXIV, 352 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMonografie Matematyczne ; _v70
505	0		_aPreface -- Introduction -- 0 Preliminaries and Summary -- 1 Semialgebras and Semitensor Product -- 2 Derived Functor SemiTor -- 3 Semicontramodules and Semihomomorphisms -- 4 Derived Functor SemiExt -- 5 Comodule-Contramodule Correspondence -- 6 Semimodule-Semicontramodule Correspondence -- 7 Functoriality in the Coring -- 8 Functoriality in the Semialgebra -- 9 Closed Model Category Structures -- 10 A Construction of Semialgebras -- 11 Relative Nonhomogeneous Koszul Duality -- Appendix A Contramodules over Coalgebras over Fields -- Appendix B Comparison with Arkhipov's Ext^{\infty/2+*} and Sevostyanov's Tor_{\infty/2+*} -- Appendix C Semialgebras Associated to Harish-Chandra Pairs -- Appendix D Tate Harish-Chandra Pairs and Tate Lie Algebras -- Appendix E Groups with Open Profinite Subgroups -- Appendix F Algebraic Groupoids with Closed Subgroupoids -- Bibliography -- Index.
520			_aThis monograph deals with semi-infinite homological algebra. Intended as the definitive treatment of the subject of semi-infinite homology and cohomology of associative algebraic structures, it also contains material on the semi-infinite (co)homology of Lie algebras and topological groups, the derived comodule-contramodule correspondence, its application to the duality between representations of infinite-dimensional Lie algebras with complementary central charges, and relative non-homogeneous Koszul duality. The book explains with great clarity what the associative version of semi-infinite cohomology is, why it exists, and for what kind of objects it is defined. Semialgebras, contramodules, exotic derived categories, Tate Lie algebras, algebraic Harish-Chandra pairs, and locally compact totally disconnected topological groups all interplay in the theories developed in this monograph. Contramodules, introduced originally by Eilenberg and Moore in the 1960s but almost forgotten for four decades, are featured prominently in this book, with many versions of them introduced and discussed. Rich in new ideas on homological algebra and the theory of corings and their analogues, this book also makes a contribution to the foundational aspects of representation theory. In particular, it will be a valuable addition to the algebraic literature available to mathematical physicists.
650		0	_aMathematics.
650		0	_aGlobal analysis.
650		0	_aGlobal differential geometry.
650	1	4	_aMathematics.
650	2	4	_aGlobal Analysis and Analysis on Manifolds.
650	2	4	_aDifferential Geometry.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783034604352
830		0	_aMonografie Matematyczne ; _v70
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-0346-0436-9
596			_a19
942			_cLIBRO_ELEC
999			_c200904 _d200904