A Schr\"odinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra $D(2,1;\alpha)$

zbMath1484.17013arXiv2104.00326MaRDI QIDQ5034862

Sigiswald Barbier, Sam Claerebout

Publication date: 21 February 2022

Full work available at URL: https://arxiv.org/abs/2104.00326

zbMATH Keywords

Lie superalgebrasminimal representationsFock modelSchrödinger modelSegal-Bargmann transformBessel-Fischer product

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Semisimple Lie groups and their representations (22E46) Analysis on supermanifolds or graded manifolds (58C50)

Related Items

A superunitary Fock model of the exceptional Lie supergroup \(\mathbb{D}(2, 1; \alpha)\) ⋮ Segal-Bargmann transforms associated to a family of coupled supersymmetries

Uses Software

• DLMF

Cites Work

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