44 citations · 52 across the 5 of their papers we have counts for
5 papers
Quantum Hamiltonian Reduction for Polar Representations
G. Bellamy, T. Levasseur, T. Nevins +1
Let be a reductive complex Lie group with Lie algebra and suppose that is a polar -representation. We prove the existence of a radial parts map $\mathrm{r…
Higher symmetries of powers of the Laplacian and rings of differential operators
T. Levasseur, J. T. Stafford
We study the interplay between the minimal representations of the orthogonal Lie algebra and the \emph{algebra of symmetries} $\mathscr…
Radial components, prehomogeneous vector spaces, and rational Cherednik algebras
Thierry Levasseur
Let V be a finite dimensional representation of the connected complex reductive group H. Denote by G the derived subgroup of H and assume that the categorical quotient of V by G is…
Differential Operators and Cohomology Groups on the Basic Affine Space
T. Levasseur, J. T. Stafford
We study the ring of differential operators D(X) on the basic affine space X=G/U of a complex semisimple group G with maximal unipotent subgroup U. One of the main results shows th…
Algebraic structure of multi-parameter quantum groups
Timothy J. Hodges, Thierry Levasseur, Margarita Toro
Multi-parameter versions U_p(g) and C_p[G] of the standard quantum groups U_q(g) and C_q[G] are considered where G is a semi-simple connected complex algebraic group and g is the L…