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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.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…