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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…
math.QA1998
A new formula for weight multiplicities and characters
Siddhartha Sahi
We describe a new formula for weight multiplicities and characters of semisimple Lie algebras. Our formula expresses these weight multiplicities as sums of positive rational number…