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Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p, q; F) / U(p-m, q; F) / Toshiyuki Kobayashi.
Author
Kobayashi, Toshiyuki, 1962-
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Format
Book
Language
English
Published/Created
Providence, R.I. : American Mathematical Society, ©1992.
Description
v, 106 pages : illustrations ; 26 cm.
Availability
Available Online
Online Content
Ebook Central Perpetual, DDA and Subscription Titles
Memoirs of the American Mathematical Society. Backfiles 1950-2012
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Status
Location Service
Notes
Lewis Library - Stacks
QA3 .A57 no.462
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Details
Subject(s)
Semisimple Lie groups
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Representations of groups
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Harmonic analysis
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Stiefel manifolds
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Series
Memoirs of the American Mathematical Society ; no. 462.
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Memoirs of the American Mathematical Society, 0065-9266 ; no. 462
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Summary note
This memoir examines the basic problem of finding vanishing theorems for Harish-Chandra modules. The results of these difficult problems contribute in a meaningful way to the singular unitary representation theory of reductive groups.
Bibliographic references
Includes bibliographical references.
Contents
Introduction
Notation
Main results
Further notations and preliminary results
Some explicit formulas on [italic]K multiplicities
An alternative proof of the sufficiency for [script]R[italic superscript]s [over] [italic subscript]q([double-struck capital]C[subscript lowercase Greek]Lambda) [does not equal] ≠ 0
Proof of irreducibility results
Proof of vanishing results outside the fair range
Proof of the inequivalence results.
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Other title(s)
Singular unitary representations and discrete series for indefinite Stiefel manifolds [italic]U([italic]p, [italic]q; [double-struck capital]F) / [italic]U([italic]p,-[italic]m, [italic]q; [double-struck capital]F)
ISBN
0821825240 ((acid-free paper))
9780821825242 ((acid-free paper))
LCCN
91036299
OCLC
24544804
Statement on language in description
Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage.
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Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / Toshiyuki Kobayashi.
id
99111703633506421
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / Toshiyuki Kobayashi.
id
99125255698206421