30 citations · 32 across the 3 of their papers we have counts for
3 papers
math.RT2012
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…
math.RT2012★ 30 cited
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…
math-ph2011★ 2 cited
The Fourier Transform on Quantum Euclidean Space
Kevin Coulembier
We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.…