Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Polynomial Representations of GL n (Record no. 425511)

MARC details
000 -LEADER
fixed length control field 03826nam a22005895i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9783540469599
-- 978-3-540-46959-9
024 7# -
-- 10.1007/3-540-46944-3
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA174-183
072 #7 -
-- PBG
-- bicssc
072 #7 -
-- MAT002010
-- bisacsh
072 #7 -
-- PBG
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 512.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Green, James A.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Polynomial Representations of GL n
Medium [electronic resource] /
Statement of responsibility, etc by James A. Green, Manfred Schocker, Karin Erdmann.
250 ## - EDITIONSTATEMENT
Edition statement 2nd corrected and augmented edition.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg,
Date of production, publication, distribution, manufacture 2007.
300 ## -
-- X, 166 p.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Lecture Notes in Mathematics,
-- 0075-8434 ;
-- 830
505 0# -
-- Preface to the second edition -- J. A. Green: Polynomial representations of GLn: 1.Introduction -- 2.Polynomial representations of GL_n(K): The Schur algebra -- 3.Weights and characters -- 4.The module D_{\lambda, K} -- 5.The Carter-Lusztig modules V_{\lambda, K} -- 6.Representation theory of the symmetric group -- Appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker: A. Introduction -- B. The Schensted process -- C. Schensted and Littelmann -- D. Theorem A and some of its consequences -- E. Tables -- Index of Symbols -- References -- Index.
520 ## -
-- The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the repesentation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self- contained; in particular complete proofs are given of classical theorems of Schensted and Knuth.
650 #0 -
-- Group theory.
650 #0 -
-- Algebra.
650 #0 -
-- Combinatorics.
650 #0 -
-- Mathematics.
650 14 -
-- Group Theory and Generalizations.
-- http://scigraph.springernature.com/things/product-market-codes/M11078
650 24 -
-- Associative Rings and Algebras.
-- http://scigraph.springernature.com/things/product-market-codes/M11027
650 24 -
-- Non-associative Rings and Algebras.
-- http://scigraph.springernature.com/things/product-market-codes/M11116
650 24 -
-- Combinatorics.
-- http://scigraph.springernature.com/things/product-market-codes/M29010
650 24 -
-- Real Functions.
-- http://scigraph.springernature.com/things/product-market-codes/M12171
700 1# -
-- Schocker, Manfred.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
700 1# -
-- Erdmann, Karin.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9783540831761
776 08 -
-- Printed edition:
-- 9783540469445
830 #0 -
-- Lecture Notes in Mathematics,
-- 0075-8434 ;
-- 830
856 40 -
-- https://doi.org/10.1007/3-540-46944-3
912 ## -
-- ZDB-2-SMA
912 ## -
-- ZDB-2-LNM
950 ## -
-- Mathematics and Statistics (Springer-11649)

No items available.

Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in