Sigiswald Barbier

activity

20192021

collaborators

3 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…

math.RT2019

The blocks of the periplectic Brauer algebra in positive characteristic

Sigiswald Barbier, Anton Cox, Maud De Visscher

We determine the blocks of the periplectic Brauer algebra over any field of odd characteristic.

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)

The blocks of the periplectic Brauer algebra in positive characteristic

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 $osp (m, 2∣2 n)$