MARC details
| 000 -LEADER |
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| fixed length control field |
03082 a2200325 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
NISER |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260121173509.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260121b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470455972 |
| Qualifying information |
Paperback |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| Transcribing agency |
NISER LIBRARY |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.54 |
| Item number |
ACH-P |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Achar, Pramod N. |
| 245 10 - TITLE STATEMENT |
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| Title |
Perverse sheaves and applications to representation theory |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
Providence, Rhode Island : |
| Name of publisher, distributor, etc. |
American Mathematical Society, |
| Date of publication, distribution, etc. |
2021. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xii, 562 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm. |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Mathematical surveys and monographs, |
| Volume/sequential designation |
volume 258 |
| International Standard Serial Number |
0076-5376 ; |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 545-556) and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book, which aims to make this theory accessible to students and researchers, is divided into two parts. The first six chapters give a compre hensive account of constructible and perverse sheaves on complex algebraic varieties, including such topics as Artin’s vanishing theorem, smooth descent, and the nearby cycles functor. This part of the book also has a chapter on the equi variant derived category, and brief surveys of side topics including étale and -adic sheaves, D-modules, and algebraic stacks. The last four chapters of the book show how to put this machinery to work in the context of selected topics in geometric representation theory: Kazhdan-Lusztig theory; Springer theory; the geometric Satake equivalence; and canonical bases for quantum groups. Recent developments such as the p -canonical basis are also discussed. The book has more than 250 exercises, many of which focus on explicit calcula tions with concrete examples. It also features a 4-page “Quick Reference” that summarizes the most commonly used facts for computations, similar to a table of integrals in a calculus textbook. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Sheaf theory |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Representations of groups |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Linear algebraic groups |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Several complex variables and analytic spaces |
| General subdivision |
Complex singularities |
| -- |
Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory for linear algebraic groups |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Coadjoint orbits; nilpotent varieties |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Table of contents |
| Uniform Resource Identifier |
<a href="https://www.ams.org/books/surv/258/surv258-endmatter.pdf">https://www.ams.org/books/surv/258/surv258-endmatter.pdf</a> |
| 856 41 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/65647054-perverse-sheaves-and-applications-to-representation-theory?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/65647054-perverse-sheaves-and-applications-to-representation-theory?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Book |
| Source of classification or shelving scheme |
Universal Decimal Classification |
