Singular Unitary Representations and Discrete Series for Indefinite Stiefel Manifolds U. (Record no. 69301)
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| fixed length control field | 03916nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113770 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124550.0 |
| 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 | 240724s1992 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470408886 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821825242 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113770 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113770 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10918717 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981323 |
| 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 | QA387 -- .K633 1992eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512/.55 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kobayashi, Toshiyuki. |
| 245 10 - TITLE STATEMENT | |
| Title | Singular Unitary Representations and Discrete Series for Indefinite Stiefel Manifolds U. |
| 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 | 1992. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1992. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (117 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.95 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- 0. Introduction -- 1. Notation -- 1. θ-stable parabolic subalgebra -- 2. good range, fair range -- 3. cohomological parabolic induction -- 4. results from Zuckerman and Vogan -- 5. results from Harish-Chandra and Oshima-Matsuki -- 2. Main results -- 1. G = Spfaq) -- 2. main theorem for G = Sp(p,q) -- 3. G = U(p,q) -- 4. main theorem for G = U(p,q) -- 5. G = SO0(p,q) -- 6. main theorem for G = SOo( p,q) -- 7. list and figures of various conditions on parameters -- 8. remarks -- 3. Further notations and preliminary results -- 1. Jantzen-Zuckerman's translation functor -- 2. induction by stages -- 3. definition of A (λ[omitted] λ') -- 4. A (λ[omitted] λ') and derived functor modules -- 5. some symbols -- 4. Some explicit formulas on K multiplicities -- 1. preliminaries -- 2. some alternating polynomials -- 3. result in quaternionic case -- 4. result in complex case -- 5. result in real case -- 6. some auxiliary lemmas -- 7. proof for quarternionic case -- 8. proof for complex case -- 9. proof for real case -- 5. An alternative proof of the sufficiency for R[sup(s)][sub(q)](Cλ)≠ 0 -- 1. theorem: sufficient condition for R[sup(s)][sub(q)](Cλ)≠ 0 -- 2. key lemmas -- 3. proof of the combinatorial part -- 6. Proof of irreducibility results -- 1. irreducibility in the fair range -- 2. twisted differential operators -- 3. theorem -- 4. irreducibility result -- 5. Vogan's idea on the translation principle for Ay(l:g) -- 6. notations about GL{nz,C) and Sp(n,C) -- 7. definition of Cλ -- 8. verification of (6.5.4)(a) -- 9. verification of (6.5.4)(b) -- 10. verification of (6.5.4)(c) -- 11. proof of Corollary(6.4.1) -- 7. Proof of vanishing results outside the fair range -- 1. proof in complex case -- 2. vanishing result in quaternionic case -- 3. maximal parabolic case -- 4. general parabolic case -- 8. Proof of the inequivalence results. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. quarternionic case -- 2. orthogonal case -- 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 | Semisimple Lie groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Representations of groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Harmonic analysis. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Stiefel manifolds. |
| 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 | Kobayashi, Toshiyuki |
| Title | Singular Unitary Representations and Discrete Series for Indefinite Stiefel Manifolds U |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1992 |
| International Standard Book Number | 9780821825242 |
| 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=3113770">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113770</a> |
| Public note | Click to View |
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