National Science Library of Georgia

Linear and projective representations of symmetric groups / (Record no. 518555)

MARC details
000 -LEADER
fixed length control field 03579nam a22004578i 4500
001 - CONTROL NUMBER
control field CR9780511542800
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160241.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090505s2005||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511542800 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521837033 (hardback)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9781107471641 (paperback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA176
Item number .K56 2005
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.5
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kleshchëv, A. S.
Fuller form of name (Aleksandr Sergeevich),
Relator term author.
245 10 - TITLE STATEMENT
Title Linear and projective representations of symmetric groups /
Statement of responsibility, etc Alexander Kleshchev.
246 3# - VARYING FORM OF TITLE
Title proper/short title Linear & Projective Representations of Symmetric Groups
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2005.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xiv, 277 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge tracts in mathematics ;
Volume number/sequential designation 163
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 00 - FORMATTED CONTENTS NOTE
Miscellaneous information 1.
Title Notation and generalities --
Miscellaneous information 2.
Title Symmetric groups I --
Miscellaneous information 3.
Title Degenerate affine Hecke algebra --
Miscellaneous information 4.
Title First results on H[subscript n]-modules --
Miscellaneous information 5.
Title Crystal operators --
Miscellaneous information 6.
Title Character calculations --
Miscellaneous information 7.
Title Integral representations and cyclotomic Hecke algebras --
Miscellaneous information 8.
Title Functors e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] --
Miscellaneous information 9.
Title Construction of U[subscript z][superscript +] and irreducible modules --
Miscellaneous information 10.
Title Identification of the crystal --
Miscellaneous information 11.
Title Symmetric groups II --
Miscellaneous information 12.
Title Generalities on superalgebra --
Miscellaneous information 13.
Title Sergeev superalgebras --
Miscellaneous information 14.
Title Affine Sergeev superalgebras --
Miscellaneous information 15.
Title Integral representations and cyclotomic Sergeev algebras --
Miscellaneous information 16.
Title First results on X[subscript n]-modules --
Miscellaneous information 17.
Title Crystal operators for X[subscript n] --
Miscellaneous information 18.
Title Character calculations for X[subscript n] --
Miscellaneous information 19.
Title Operators e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] --
Miscellaneous information 20.
Title Construction of U[subscript z][superscript +] and irreducible modules --
Miscellaneous information 21.
Title Identification of the crystal --
Miscellaneous information 22.
Title Double covers.
520 ## - SUMMARY, ETC.
Summary, etc The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Symmetry 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 Modular representations of groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Hecke algebras.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Superalgebras.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Linear algebraic groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebras, Linear.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry, Projective.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521837033
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge tracts in mathematics ;
Volume number/sequential designation 163.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511542800">https://doi.org/10.1017/CBO9780511542800</a>

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