31 citations · 41 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
Deformation quantization and invariant distributions
Martin Andler, Alexander Dvorsky, Siddhartha Sahi
In 1979, M. Kashiwara and M. Vergne formulated a conjecture on a Lie group G which implies that the Duflo isomorphism of Z(g) and S(g)^g extends to a natural module isomorphism bet…
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…