32 citations · 306 across the 68 of their papers we have counts for
4 papers · 2 filters
Joseph-like ideals and harmonic analysis for osp(m|2n)
Kevin Coulembier, Petr Somberg, Vladimir Soucek
The Joseph ideal in the universal enveloping algebra U(so(m)) is the annihilator ideal of the so(m)-representation on the harmonic functions on R^{m-2}. The Joseph ideal for sp(2n)…
Bernstein-Gelfand-Gelfand resolutions for linear superalgebras
Kevin Coulembier
In this paper we construct resolutions of finite dimensional irreducible gl(m|n)-modules in terms of generalized Verma modules. The resolutions are determined by the Kostant cohomo…
The orthosymplectic superalgebra in harmonic analysis
Kevin Coulembier
We introduce the orthosymplectic superalgebra osp(m|2n) as the algebra of Killing vector fields on Riemannian superspace R^{m|2n} which stabilize the origin. The Laplace operator a…
On a class of tensor product representations for the orthosymplectic superalgebra
Kevin Coulembier
We introduce the spinor representations for osp(m|2n). These generalize the spinors for so(m) and the symplectic spinors for sp(2n) and correspond to representations of the supergr…