Representations of Affine Hecke Algebras (Record no. 10243)
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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 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
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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-- | txt |
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-- | computer |
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-- | online resource |
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-- | text file |
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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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