S. Claerebout

activity

20202023

most citedA Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra

osp (m, 2∣2 n)

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.RT2023

Minimal representations of the metaplectic Lie supergroup and the super Segal-Bargmann transform

Sam Claerebout

We construct a Schrödinger model and a Fock model of a minimal representation of the metaplectic Lie supergroup $Mp (2 m ∣2 n, 2 n)$ . Then, we show that the Schrödinger model of…

math.RT2023

A general approach to constructing minimal representations of Lie supergroups

Sigiswald Barbier, Sam Claerebout

In this paper we describe an approach to generalise minimal representations to the super setting for Lie superalgebras obtained from Jordan superalgebras using the TKK construction…

math.RT2023

A superunitary Fock model of the exceptional Lie supergroup $D (2, 1; α)$

Sigiswald Barbier, Sam Claerebout

We construct a Fock model of the minimal representation of the exceptional Lie supergroup $D (2, 1, α)$ . Explicit expressions for the action are given by integrating to grou…

Minimal representations of the metaplectic Lie supergroup and the super Segal-Bargmann transform

A general approach to constructing minimal representations of Lie supergroups

A superunitary Fock model of the exceptional Lie supergroup D(2,1;α)

A superunitary Fock model of the exceptional Lie supergroup $D (2, 1; α)$