14 citations · 14 across the 5 of their papers we have counts for
5 papers
Symplectic Dirac operators on homogeneous spaces
Dan Ciubotaru, Gang Liu, Salah Mehdi +1
We define symplectic Dirac operators on homogeneous spaces and study their representation-theoretic role. For an invariant polarization, the symplectic Dirac operator decomposes in…
Exhaustive families of representations of -algebras associated to -body Hamiltonians with asymptotically homogeneous interactions
Jeremy Mougel, Nicolas Prudhon
We continue the analysis of algebras introduced by Georgescu, Nistor and their coauthors, in order to study -body type Hamiltonians with interactions. More precisely, let be…
Translation of Dolbeault representations on reductive homogeneous spaces
Nicolas Prudhon
We adapt techniques used in the study of the cubic Dirac operator on homogeneous reductive spaces to the Dolbeault operator on elliptic coadjoint orbits to prove that cohomological…
Exhausting families of representations and spectra of pseudodifferential operators
Victor Nistor, Nicolas Prudhon
Families of representations of suitable Banach algebras provide a powerful tool in the study of the spectral theory of (pseudo)differential operators and of their Fredholmness. We…
Maximal hypoellipticity and Dolbeault cohomology representations for U(p,q)
N. Prudhon
Let Y=G/L be a flag manifold for a reductive G and K a maximal compact subgroup of G. We define an equivariant differential operator on G/(L cap K) playing the role of an equivaria…