IRREDUCIBLE UNITARY REPRESENTATIONS OF SUp,q II: THE CONTINUOUS SERIES
2001 ◽
Vol 12
(01)
◽
pp. 37-47
◽
Keyword(s):
A class of irreducible unitary representations belonging to the continuous series of SUp,q is explicitly determined in a space composed of the Kronecker product of three spaces of square integrable functions. The continuous series corresponds to a Cartan subgroup whose vector part has maximal dimension. These representations are distinguished by a parameter r = 1, 2, …, p for p ≤ q in SUp,q. For r = 0, one obtains the representations in the discrete series as in [5], and all representations in the continuous series, for r ≠ 0, are obtained explicitly.
1974 ◽
Vol 18
(1)
◽
pp. 78-96
◽
2001 ◽
Vol 12
(01)
◽
pp. 1-36
◽
1992 ◽
Vol 07
(25)
◽
pp. 6339-6355
◽
2004 ◽
Vol 123
(4)
◽
pp. 4324-4339
◽
2002 ◽
Vol 31
(8)
◽
pp. 477-496
Keyword(s):
2021 ◽
Vol 25
(21)
◽
pp. 606-643