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Singular unitary representations and discrete series for indefinite Stiefel manifolds ${\rm U}(p,q;{\bf F})/{\rm U}(p-m,q;{\bf F})$

About this Title

Toshiyuki Kobayashi

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 95, Number 462
ISBNs: 978-0-8218-2524-2 (print); 978-1-4704-0888-6 (online)
MathSciNet review: 1098380
MSC: Primary 22E46; Secondary 22E45, 22E47, 43A85

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Table of Contents


  • 0. Introduction
  • 1. Notation
  • 2. Main results
  • 3. Further notations and preliminary results
  • 4. Some explicit formulas on $K$ multiplicities
  • 5. An alternative proof of the sufficiency for $\mathcal {R}^s_{\mathfrak {q}}(\mathbb {C}_\lambda ) \neq 0$
  • 6. Proof of irreducibility results
  • 7. Proof of vanishing results outside the fair range
  • 8. Proof of the inequivalence results
American Mathematical Society