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20072026
most citedExhausting families of representations and spectra of pseudodifferential operators

14 citations · 14 across the 5 of their papers we have counts for

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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.RT2015

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…

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…