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The Oscillator Duality Correspondence for the Pair $O(2,2)$, $SP(2,{\mathbb R})$
eBook ISBN:  9781470408237 
Product Code:  MEMO/79/403.E 
List Price:  $25.00 
MAA Member Price:  $22.50 
AMS Member Price:  $15.00 
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The Oscillator Duality Correspondence for the Pair $O(2,2)$, $SP(2,{\mathbb R})$
eBook ISBN:  9781470408237 
Product Code:  MEMO/79/403.E 
List Price:  $25.00 
MAA Member Price:  $22.50 
AMS Member Price:  $15.00 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 79; 1989; 105 ppMSC: Primary 22; Secondary 81

Table of Contents

Chapters

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


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Chapters

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
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