31 citations · 41 across the 8 of their papers we have counts for
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math.RT2001
Explicit Hilbert spaces for certain unipotent representations III
Alexander Dvorsky, Siddhartha Sahi
We consider the groups G which arise from real semisimple Jordan algebras via the Tits-Koecher-Kantor construction. Such a G is characterized by the fact that it admits a parabolic…
math.RT1999★ 31 cited
Explicit Hilbert spaces for certain unipotent representations II
Alexander Dvorsky, Siddhartha Sahi
We construct an explicit realization of a minimal representation of G, where G is the conformal group of a real Jordan algebra N. We characterize spherical vectors for these repres…
math.RT1998
Tensor products of singular representations and an extension of the theta-correspondence
Alexander Dvorsky, Siddhartha Sahi
In this paper we consider the problem of decomposing tensor products of certain singular unitary representations of a semisimple Lie group G. Using explicit models for these repres…