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20140310151451.0 |
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100907s2010 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783034604369 |
|
978-3-0346-0436-9 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA614-614.97 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.74 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Basel : |
| -- |
Springer Basel, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Positselski, Leonid. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Homological Algebra of Semimodules and Semicontramodules |
| Medium |
[electronic resource] : |
| Remainder of title |
Semi-infinite Homological Algebra of Associative Algebraic Structures / |
| Statement of responsibility, etc |
by Leonid Positselski. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXIV, 352 p. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Monografie Matematyczne ; |
| Volume number/sequential designation |
70 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface -- 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 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This 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 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Global analysis. |
|
|---|
| Topical term or geographic name as entry element |
Global differential geometry. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Global Analysis and Analysis on Manifolds. |
|
|---|
| Topical term or geographic name as entry element |
Differential Geometry. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9783034604352 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-0346-0436-9 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
