Notes on Coxeter Transformations and the McKay Correspondence (Record no. 38590)
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| fixed length control field | 02930n a2200409#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5000223 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140640.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783540773993 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-540-77399-3 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 978-3-540-77399-3 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBF |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT002010 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.44 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos) |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Stekolshchik, Rafael |
| 9 (RLIN) | 9361 |
| 245 10 - TITLE STATEMENT | |
| Title | Notes on Coxeter Transformations and the McKay Correspondence |
| Medium | [electronic resource]/ |
| Statement of responsibility, etc. | by Rafael Stekolshchik. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Berlin, Heidelberg: |
| Name of publisher, distributor, etc. | Springer Berlin Heidelberg, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Other physical details | digital. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Springer Monographs in Mathematics, |
| International Standard Serial Number | 1439-7382 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction -- Preliminaries -- The Jordan normal form of the Coxeter transformation -- Eigenvalues, splitting formulas and diagrams Tp,q r -- R. Steinberg's theorem, B. Kostant's construction. - The affine Coxeter transformation -- A. The McKay correspondence and the Slodowy correspondence -- B. Regularity conditions for representations of quivers -- C. Miscellanea -- References -- Index . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | One of the beautiful results in the representation theory of the finite groups is McKay's theorem on a correspondence between representations of the binary polyhedral group of SU(2) and vertices of an extended simply-laced Dynkin diagram. The Coxeter transformation is the main tool in the proof of the McKay correspondence, and is closely interrelated with the Cartan matrix and Poincaré series. The Coxeter functors constructed by Bernstein, Gelfand and Ponomarev plays a distinguished role in the representation theory of quivers. On these pages, the ideas and formulas due to J. N. Bernstein, I. M. Gelfand and V. A. Ponomarev, H.S.M. Coxeter, V. Dlab and C.M. Ringel, V. Kac, J. McKay, T.A. Springer, B. Kostant, P. Slodowy, R. Steinberg, W. Ebeling and several other authors, as well as the author and his colleagues from Subbotin's seminar, are presented in detail. Several proofs seem to be new . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 9 (RLIN) | 43458 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebra |
| 9 (RLIN) | 43450 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Group theory |
| 9 (RLIN) | 43436 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Topological groups. |
| 9 (RLIN) | 43823 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Matemáticas Gerais- |
| Description subdivision | (inclusive alguns textos elementares sobre assuntos específicos) |
| Linkage | 23752 |
| 710 1# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service). |
| 9 (RLIN) | 8857 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9783540773986 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Springer monographs in mathematics, |
| 9 (RLIN) | 24417 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-3-540-77399-3">http://dx.doi.org/10.1007/978-3-540-77399-3</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | E-Book |
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