6 papers
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…
The wavefront set: bounds for the Langlands parameter
Dan Ciubotaru, Ju-Lee Kim
For an irreducible smooth representation of a connected reductive -adic group, two important associated invariants are the wavefront set and the (partly conjectural) Langlands p…
Local character expansions and asymptotic cones over finite fields
Dan Ciubotaru, Emile Okada
We generalise Gelfand-Graev characters to -graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive d…