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- [Browse]
Format
Book
Language
English
Published/​Created
Providence, R.I. : American Mathematical Society, ©1992.
Description
v, 106 pages : illustrations ; 26 cm.

Availability

Copies in the Library

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Lewis Library - Stacks QA3 .A57 no.462 Browse related items Request

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    Subject(s)
    Series
    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.
    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
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