Research Explorer

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Researcher

Sigiswald Barbier

Awards & Distinctions

10 Results

2024

Minimal representations of Lie supergroups and Segal-Bargmann transforms

Sam ClaereboutSigiswald BarbierHendrik De Bie

2023

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

Sigiswald BarbierSam Claerebout

A1 Journal Article in COMMUNICATIONS IN MATHEMATICAL PHYSICS

2021

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

Sigiswald BarbierSam Claerebout

A1 Journal Article in JOURNAL OF LIE THEORY

2020

A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra osp(m,2|2n)

Sigiswald BarbierSam ClaereboutHendrik De Bie

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

2019

A minimal representation of the orthosymplectic Lie supergroup

Sigiswald BarbierJan Frahm

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

The blocks of the periplectic Brauer algebra in positive characteristic

Sigiswald BarbierAnton CoxMaud De Visscher

A1 Journal Article in JOURNAL OF ALGEBRA

2018

A minimal representation of the orthosymplectic Lie superalgebra

Sigiswald BarbierHendrik De BieKevin Coulembier

On structure and TKK algebras for Jordan superalgebras

Sigiswald BarbierKevin Coulembier

A1 Journal Article in COMMUNICATIONS IN ALGEBRA

2017

Polynomial realisations of lie (super)algebras and Bessel operators

Sigiswald BarbierKevin Coulembier

A1 Journal Article in INTERNATIONAL MATHEMATICS RESEARCH NOTICES

2016

The Joseph ideal for sl(m|n)

Sigiswald BarbierKevin Coulembier

Bookchapter in Lie theory and its applications in physics