MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02818nam a22003137a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20240522123552.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
240517b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781470412258 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
512.81 |
| Item number |
BOR-C |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Borel, Armand |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Continuous cohomology, discrete subgroups, and representations of reductive groups |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Rhode Island : |
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
2000. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xvii, 260p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Mathematical surveys and monographs, |
| International Standard Serial Number |
0076-5376 ; |
| Volume/sequential designation |
v. 67 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (p. 253-258) and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The book by Borel and Wallach is a classic treatment of the use of cohomology in representation theory, particularly in the setting of automorphic forms and discrete subgroups. The authors begin with general material, covering Lie algebra cohomology, as well as continuous and differentiable cohomology. Much of the machinery is designed for the study of the cohomology of locally symmetric spaces, realized as double coset spaces, where the quotient is by a maximal compact subgroup and by a discrete subgroup. Such spaces are central to applications to number theory and the study of automorphic forms. The authors give a careful presentation of relative Lie algebra cohomology of admissible and of unitary -modules. As part of the general development, the Langlands classification of irreducible admissible representations is given. Computations of important examples are another valuable part of the book. In the twenty years between the first and second editions of this work, there was immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. The second edition is a corrected and expanded version of the original, which was an important catalyst in the growth of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the two intervening decades. |
| 521 ## - TARGET AUDIENCE NOTE |
|---|
| Target audience note |
Graduate students and research mathematicians working in continuous cohomology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Lie groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Representations of groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Homology theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Langlands classification |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Wallach, Nolan R. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://www.ams.org/bookstore/pspdf/surv-67-prev.pdf?_gl=1*1s10dl4*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM2MDU0Mi4wLjAuMA..">https://www.ams.org/bookstore/pspdf/surv-67-prev.pdf?_gl=1*1s10dl4*_ga*MTg3NTQ1NzY3LjE3MTEwOTIxMzU.*_ga_26G4XFTR63*MTcxNjM2MDUzNC42LjEuMTcxNjM2MDU0Mi4wLjAuMA..</a> |
| Materials specified |
Table of Contents |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/62095530-continuous-cohomology-discrete-subgroups-and-representations-of-reduct?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/62095530-continuous-cohomology-discrete-subgroups-and-representations-of-reduct?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| Materials specified |
Reviews |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
Book |
