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math.RA2023
Operator Kantor Pairs
Sigiswald Barbier, Tom De Medts, Michiel Smet
Kantor pairs, (quadratic) Jordan pairs, and similar structures have been instrumental in the study of -graded Lie algebras and algebraic groups. We introduce the notion…
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
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…