5 papers
Convolution of invariant distributions: Proof of the Kashiwara-Vergne conjecture
Martin Andler, Siddhartha Sahi, Charles Torossian
Consider the Kontsevich -product on the symmetric algebra of a finite dimensional Lie algebra , regarded as the algebra of distributions with support 0 on $\mat…
Kontsevich quantization and invariant distributions on Lie groups
Martin Andler, Alexander Dvorsky, Siddhartha Sahi
We study Kontsevich's deformation quantization for the dual of a finite-dimensional real Lie algebra (or superalgebra) g. In this case the Kontsevich star-product defines a new con…
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…
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…
Nonsymmetric Koornwinder polynomials and duality
Siddhartha Sahi
Motivated by the work of Koornwinder, Macdonald, Cherednik, Noumi, and van Diejen we define a 6-parameter double affine Hecke algebra and establish its basic structural properties,…