Open AccessOn the spectrum of the generalized Gelfand pair $(u(p,q), h_{n})$, $p+q=n$
Author(s) -
T. Godoy,
Linda Saal
Publication year - 2009
Publication title -
mathematica scandinavica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.553
H-Index - 30
eISSN - 1903-1807
pISSN - 0025-5521
DOI - 10.7146/math.scand.a-15113
Subject(s) - mathematics , spectrum (functional analysis) , combinatorics , mathematical physics , pure mathematics , quantum mechanics , physics
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 $(U(p,q), H_{n})$, $p+q=n$.