On the spectrum of the generalized Gelfand pair $(u(p,q), h_{n})$, $p+q=n

It is known that the spectrum of the Gelfand pair $(U(n), H_{n})$ is homeomorphic to the Heisenberg fan. In this paper after defining a suitable notion of spectrum, we prove an analogous result for the generalized Gelfand pair $(U(p,q), H_{n})$, $p+q=n$.

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Bibliographic Details
Published in:Mathematica scandinavica 2009-12, Vol.105 (2), p.171-187
Main Authors: Godoy, Tomás, Saal, Linda
Format: Article
Language:English
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Summary:It is known that the spectrum of the Gelfand pair $(U(n), H_{n})$ is homeomorphic to the Heisenberg fan. In this paper after defining a suitable notion of spectrum, we prove an analogous result for the generalized Gelfand pair $(U(p,q), H_{n})$, $p+q=n$.
ISSN:0025-5521
1903-1807
DOI:10.7146/math.scand.a-15113