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math.QA2001
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…
math.QA1999
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…
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…