Lie Supergroups, Unitary Representations, and Invariant Cones

DOI10.1007/978-3-642-21744-9_10zbMath1275.22011arXiv1012.2809OpenAlexW1529852909MaRDI QIDQ2909966

Hadi Salmasian, Karl-Hermann Neeb

Publication date: 7 September 2012

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2809

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Supermanifolds and graded manifolds (58A50) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Solvable, nilpotent (super)algebras (17B30) Induced representations for locally compact groups (22D30)

Related Items (6)

A superunitary Fock model of the exceptional Lie supergroup \(\mathbb{D}(2, 1; \alpha)\) ⋮ A Schr\"odinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra $D(2,1;\alpha)$ ⋮ A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(m, 2 | 2n)\) ⋮ Current superalgebras and unitary representations ⋮ SUPERORBITS ⋮ Finite dimensional compact and unitary Lie superalgebras

This page was built for publication: Lie Supergroups, Unitary Representations, and Invariant Cones