Intertwining differential operators for $\textrm {Mp}(n, \textbf {R})$ and $\textrm {SU}(n, n)$
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 by Hans Plesner Jakobsen PDF
 Trans. Amer. Math. Soc. 246 (1978), 311337 Request permission
Abstract:
For each of the two series of groups, three series of representations ${U_n}$, ${D_n}$, and ${H_n}(n \in Z)$ are considered. For each series of representations there is a differential operator with the property, that raised to the nth power $(n > 0)$, it intertwines the representations indexed by $ n$ and n. The operators are generalizations of the d’Alembertian, the Diracoperator and a combination of the two. Unitarity of subquotients of representations indexed by negative integers is derived from the intertwining relations.References

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Additional Information
 © Copyright 1978 American Mathematical Society
 Journal: Trans. Amer. Math. Soc. 246 (1978), 311337
 MSC: Primary 22E45; Secondary 35L99, 47A15
 DOI: https://doi.org/10.1090/S00029947197805155419
 MathSciNet review: 515541