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5 papers
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 . Then, we show that the Schrödinger model of…
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…
A superunitary Fock model of the exceptional Lie supergroup
Sigiswald Barbier, Sam Claerebout
We construct a Fock model of the minimal representation of the exceptional Lie supergroup . Explicit expressions for the action are given by integrating to grou…
A Schrödinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra
Sigiswald Barbier, Sam Claerebout
We construct two infinite-dimensional irreducible representations for : a Schrödinger model and a Fock model. Further, we also introduce an intertwining isomorphism. Thes…
A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra
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…