Hecke Algebras. (Record no. 69503)
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| fixed length control field | 03807nam a22004573i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113972 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124556.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s1990 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470408589 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821824979 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113972 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113972 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10918925 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)891385168 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA3 -- .K754 1990eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.2 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Krieg, Aloys. |
| 245 10 - TITLE STATEMENT | |
| Title | Hecke Algebras. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 1990. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1990. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (173 pages) |
| 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 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.87 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Table of Contents -- Introduction -- Chapter I: The Abstract Hecke Algebra -- 1. The Group Algebra -- 2. Formal Linear Combinations of Right and Double Cosets -- 3. Hecke Pairs -- 4. The Product -- 5. The Symmetric Group as an Example -- 6. Isomorphisms of Hecke Algebras -- 7. Anti-Homomorphisms -- 8. The Canonical Bilinear Form -- Remarks -- Chapter II: Structure Theory of Hecke Algebras for Finite Groups -- 1. Maschke's Theorem for Hecke Algebras -- 2. The Use of Group Algebras -- 3. Hecke Algebras of Small Dimension -- 4. Quadratic Residues and Non-Residues -- 5. The Canonical Involution on the Hecke Algebra -- Remarks -- Chapter III: Examples of Hecke Algebras for Finite Groups -- 1. The Dihedral Group -- 2. The Integral Orthogonal Group -- 3. The Symmetric Group -- 4. A Borel Subgroup of the General Linear Group over a Finite Field -- 5. A Maximal Parabolic Subgroup -- Remarks -- Chapter IV: The Hecke Algebra Associated with SL(2 -- Z) -- 1. Right Coset Decompositions -- 2. Double Coset Decompositions -- 3. The Hecke Algebra Associated with (Γ,M) -- 4. The Primary Component H[sub(p)] -- 5. An Embedding -- 6. Congruence Subgroups -- 7. The Hecke Algebra Associated with Γ[sub(0)](q) -- Remarks -- Chapter V: The Hecke Algebra Associated with the Unimodular Group -- 1. The Unimodular Group -- 2. The Elementary Divisor Theorem -- 3. Elementary Divisors -- 4. q-Kernels -- 5. Right Coset Decompositions -- 6. The Hecke Algebra Associated with (u[sub(n)],Inv(n -- Z)) -- 7. Particular Double Cosets in the Primary Component -- 8. The Primary Component -- 9. Formal Power Series -- 10. The Hecke Algebra over Q -- 11. An Embedding -- Remarks -- Chapter VI: The Hecke Algebra Associated with the Slegel Modular Group -- 1. Symplectic Similitudes -- 2. The Symplectic Elementary Divisor Theorem -- 3. Right Coset Decompositions. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4. The Hecke Algebra Associated with (Γ[sub(n)],Δ[sub(n)]) -- 5. Particular Double Cosets in the Primary Component -- 6. The Primary Component -- 7. The Commutation Relation with the Siegel Φ-Operator -- 8. A Rationality Theorem for n = 2 -- Remarks -- References. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hecke algebras. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Krieg, Aloys |
| Title | Hecke Algebras |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1990 |
| International Standard Book Number | 9780821824979 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113972">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113972</a> |
| Public note | Click to View |
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