Representations of Affine Hecke Algebras (Record no. 10243)

MARC details
000 -LEADER
fixed length control field 03351nam a22005295i 4500
001 - CONTROL NUMBER
control field 978-3-540-48682-4
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151319.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
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fixed length control field 121227s1994 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540486824
-- 978-3-540-48682-4
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/BFb0074130
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA252.3
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA387
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBG
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT014000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBG
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.55
Edition number 23
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.482
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Xi, Nanhua.
Relator term author.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 10 - TITLE STATEMENT
Title Representations of Affine Hecke Algebras
Medium [electronic resource] /
Statement of responsibility, etc by Nanhua Xi.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 1994.
300 ## - PHYSICAL DESCRIPTION
Extent VIII, 144 p.
Other physical details online resource.
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-- online resource
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-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ;
Volume number/sequential designation 1587
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Hecke algebras -- Affine Weyl groups and affine Hecke algebras -- A generalized two-sided cell of an affine Weyl group -- qs-analogue of weight multiplicity -- Kazhdan-Lusztig classification on simple modules of affine Hecke algebras -- An equivalence relation in T × ?* -- The lowest two-sided cell -- Principal series representations and induced modules -- Isogenous affine Hecke algebras -- Quotient algebras -- The based rings of cells in affine Weyl groups of type -- Simple modules attached to c 1.
520 ## - SUMMARY, ETC.
Summary, etc Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element K-theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topological Groups, Lie Groups.
-- http://scigraph.springernature.com/things/product-market-codes/M11132
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group Theory and Generalizations.
-- http://scigraph.springernature.com/things/product-market-codes/M11078
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element K-Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M11086
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 9783662186411
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540583899
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ;
Volume number/sequential designation 1587
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/BFb0074130
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