3 papers
math.RT2026
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…
math.FA2018
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…
math.RT2007
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…