ON THE SPECTRUM OF THE GENERALIZED GELFAND PAIR (U(p, q), Hn), p + q = n

It is known that the spectrum of the Gelfand pair (U(n), Hn) 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), Hn), p + q = n.

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Bibliographic Details
Published in:Mathematica scandinavica 2009-01, Vol.105 (2), p.171-187
Main Authors: GODOY, TOMÁS, SAAL, LINDA
Format: Article
Language:English
Subjects:
Adjoints
Algebra
Eigenvalues
Equivalence relation
Homeomorphism
Mathematical functions
Polynomials
Taylor polynomials
Topology
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Summary:It is known that the spectrum of the Gelfand pair (U(n), Hn) 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), Hn), p + q = n.
ISSN:0025-5521
1903-1807
DOI:10.7146/math.scand.a-15113