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Researcher
Sigiswald Barbier
Profile
Projects
Publications
Activities
Awards & Distinctions
12
Results
2025
Operator Kantor pairs
Sigiswald Barbier
Tom De Medts
Michiel Smet
A1
Journal Article
in
JOURNAL OF ALGEBRA
2025
2024
A General Approach to Constructing Minimal Representations of Lie Supergroups
Sigiswald Barbier
Sam Claerebout
Bookchapter
in
Symmetry in Geometry and Analysis, Volume 1
2024
Minimal representations of Lie supergroups and Segal-Bargmann transforms
Sam Claerebout
Sigiswald Barbier
Hendrik De Bie
Dissertation
2024
2023
A superunitary fock model of the exceptional Lie supergroup D(2, 1; α)
Sigiswald Barbier
Sam Claerebout
A1
Journal Article
in
COMMUNICATIONS IN MATHEMATICAL PHYSICS
2023
2021
A Schrodinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra D(2, 1; alpha)
Sigiswald Barbier
Sam Claerebout
A1
Journal Article
in
JOURNAL OF LIE THEORY
2021
2020
A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra osp(m,2|2n)
Sigiswald Barbier
Sam Claerebout
Hendrik De Bie
A1
Journal Article
in
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
2020
2019
A minimal representation of the orthosymplectic Lie supergroup
Sigiswald Barbier
Jan Frahm
A1
Journal Article
in
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
2019
The blocks of the periplectic Brauer algebra in positive characteristic
Sigiswald Barbier
Anton Cox
Maud De Visscher
A1
Journal Article
in
JOURNAL OF ALGEBRA
2019
2018
A minimal representation of the orthosymplectic Lie superalgebra
Sigiswald Barbier
Hendrik De Bie
Kevin Coulembier
Dissertation
2018
On structure and TKK algebras for Jordan superalgebras
Sigiswald Barbier
Kevin Coulembier
A1
Journal Article
in
COMMUNICATIONS IN ALGEBRA
2018
2017
Polynomial realisations of lie (super)algebras and Bessel operators
Sigiswald Barbier
Kevin Coulembier
A1
Journal Article
in
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
2017
2016
The Joseph ideal for sl(m|n)
Sigiswald Barbier
Kevin Coulembier
Bookchapter
in
Lie theory and its applications in physics
2016