S. Claerebout

collaborators

2 papers

math.RT2021

A Schrödinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra $D (2, 1; α)$

Sigiswald Barbier, Sam Claerebout

We construct two infinite-dimensional irreducible representations for $D (2, 1; α)$ : a Schrödinger model and a Fock model. Further, we also introduce an intertwining isomorphism. Thes…

math.RT2020

A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra $osp (m, 2∣2 n)$

Sigiswald Barbier, Sam Claerebout, Hendrik De Bie

The minimal representation of a semisimple Lie group is a 'small' infinite-dimensional irreducible unitary representation. It is thought to correspond to the minimal nilpotent coad…

A Schrödinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra D(2,1;α)

A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra osp(m,2∣2n)

A Schrödinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra $D (2, 1; α)$

A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra $osp (m, 2∣2 n)$