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The oscillator duality correspondence for the pair ${\rm O}(2,2),\;{\rm Sp}(2,{\bf R})$

About this Title

Tomasz Przebinda

Publication: Memoirs of the American Mathematical Society
Publication Year 1989: Volume 79, Number 403
ISBNs: 978-0-8218-2464-1 (print); 978-1-4704-0823-7 (online)
MathSciNet review: 979944
MSC: Primary 22E45; Secondary 81C40

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Table of Contents


  • I. The oscillator duality correspondence
  • II. A classification of irreducible representations
  • III. $R(\mathrm {O}_{2,2} \cdot \mathrm {Sp}(2, \mathbb {R}), \omega )$
  • Appendix A. The unitary dual of $\mathrm {Sp}(2, \mathbb {R})$
  • Appendix B. The smooth Frobenius reciprocity theorem
  • Appendix C. The determinant representation of $\mathrm {O}(p,q)$ and the oscillator duality correspondence