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

Tomás Godoy; Linda Saal

doi:10.7146/math.scand.a-15113

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

Authors

Tomás Godoy
Linda Saal

DOI:

https://doi.org/10.7146/math.scand.a-15113

Abstract

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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Published

2009-12-01

How to Cite

Godoy, T., & Saal, L. (2009). On the spectrum of the generalized Gelfand pair $(u(p,q), h_{n})$, $p+q=n$. MATHEMATICA SCANDINAVICA, 105(2), 171–187. https://doi.org/10.7146/math.scand.a-15113