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Researcher
Sigiswald Barbier
- Keywords:Brauer algebras, Segal-Bargmann transform, Jordan superalgebras, Lie superalgebras, Minimal representations
- Disciplines:Non-associative rings and algebras, Functional analysis, Associative rings and algebras
Affiliations
- Department of Electronics and information systems (Department)
Member
From1 Jul 2019 → Today - Department of Mathematical analysis (Department)
Member
From20 Aug 2014 → 30 Jun 2019
Projects
1 - 3 of 3
- Modular representation theory of the periplectic Brauer algebra.From1 Nov 2020 → 31 Oct 2023Funding: FWO junior postdoctoral fellowship
- Modular representation theory of the periplectic Brauer algebra.From1 Oct 2018 → 31 Oct 2020Funding: BOF - Doctoral projects
- Segal-Bargmann transforms for Lie supergroupsFrom1 Oct 2014 → 30 Sep 2018Funding: FWO fellowships, BOF - Other initiatives
Publications
1 - 9 of 9
- A superunitary fock model of the exceptional Lie supergroup D(2, 1; α)(2023)
Authors: Sigiswald Barbier, Sam Claerebout
Pages: 451 - 472 - A Schrodinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra D(2, 1; alpha)(2021)
Authors: Sigiswald Barbier, Sam Claerebout
Pages: 1153 - 1188 - A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra osp(m,2|2n)(2020)
Authors: Sigiswald Barbier, Sam Claerebout, Hendrik De Bie
- The blocks of the periplectic Brauer algebra in positive characteristic(2019)
Authors: Sigiswald Barbier, Anton Cox, Maud De Visscher
Pages: 289 - 312 - A minimal representation of the orthosymplectic Lie supergroup(2019)
Authors: Sigiswald Barbier, Jan Frahm
Pages: 16359 - 16422 - A minimal representation of the orthosymplectic Lie superalgebra(2018)
Authors: Sigiswald Barbier
- On structure and TKK algebras for Jordan superalgebras(2018)
Authors: Sigiswald Barbier, Kevin Coulembier
Pages: 684 - 704 - Polynomial realisations of lie (super)algebras and Bessel operators(2017)
Authors: Sigiswald Barbier, Kevin Coulembier
Pages: 3148 - 3179 - The Joseph ideal for sl(m|n)(2016)Series: Springer Proceedings in Mathematics & Statistics
Authors: Sigiswald Barbier, Kevin Coulembier, Vladimir Dobrev
Pages: 489 - 499