Dan Ciubotaru

activity

20072026

most citedCharacters of Springer representations on elliptic conjugacy classes

25 citations · 136 across the 56 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.RT2020

Weyl groups, the Dirac inequality, and isolated unitary unramified representations

Dan Ciubotaru

I present several applications of the Dirac inequality to the determination of isolated unitary representations and associated "spectral gaps" in the case of unramified principal s…

math.RT2020★ 1 cited

Deformations of unitary Howe dual pairs

Dan Ciubotaru, Hendrik De Bie, Marcelo De Martino +1

We study deformations of the Howe dual pairs $(U (n), u (1, 1))$ and $(U (n), u (2∣1))$ to the context of a rational Cherednik algebra $H_{1,c}(G,E…

math.RT2020★ 1 cited

The nonabelian Fourier transform for elliptic unipotent representations of exceptional $p$ -adic groups

Dan Ciubotaru

We define an involution on the space of elliptic unipotent Langlands parameters of a reductive $p$ -adic group $G$ and verify that when $G$ is split adjoint exceptional, the composi…

math.RT2020

Symplectic Dirac operators for Lie algebras and graded Hecke algebras

Dan Ciubotaru, Marcelo De Martino, Philippe Meyer

We define a pair of symplectic Dirac operators $(D^{+}, D^{-})$ in an algebraic setting motivated by the analogy with the algebraic orthogonal Dirac operators in representation theory.…

Weyl groups, the Dirac inequality, and isolated unitary unramified representations

Deformations of unitary Howe dual pairs

The nonabelian Fourier transform for elliptic unipotent representations of exceptional p-adic groups

Symplectic Dirac operators for Lie algebras and graded Hecke algebras

The nonabelian Fourier transform for elliptic unipotent representations of exceptional $p$ -adic groups