25 citations · 136 across the 56 of their papers we have counts for
56 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…
Jantzen filtrations for graded affine Hecke algebras
Dan Ciubotaru
We prove the Jantzen conjecture for standard modules of graded affine Hecke algebras with equal parameters, real central character in the dominant deformation direction. The Jantze…
Generic spherical unitary dual for Chevalley groups over local fields
Dan Ciubotaru
We prove that a generic spherical parameter for the graded affine Hecke algebra with equal parameters is unitary if and only if its normalized intertwining forms are positive on th…
A nonabelian Fourier transform for tempered unipotent representations, II
Anne-Marie Aubert, Dan Ciubotaru, Beth Romano
We extend the construction of the nonabelian Fourier transform proposed in our previous paper from the space of unipotent elliptic characters to the space of unipotent compact char…
Endoscopic transfer and the wavefront upper bound conjecture
Hiraku Atobe, Dan Ciubotaru
We verify the local analogue of Jiang's conjecture for the upper bound of the geometric wavefront sets of Arthur type representations of split classical -adic groups with $p\gg…
Unitary representations attached to parabolic subgroups: the case of abelian unipotent radical
Dan Ciubotaru
We classify the unitary representations with integral infinitesimal character in Lusztig's category of unipotent representations in the case when the geometric parameter space come…