Superunitary Representations of Heisenberg Supergroups

DOI10.1093/IMRN/RNY184zbMath1485.81036arXiv1601.07387OpenAlexW2963506161WikidataQ129396798 ScholiaQ129396798MaRDI QIDQ5028259

Axel de Goursac, Jean-Philippe Michel

Publication date: 8 February 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.07387

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60) Unitary representations of locally compact groups (22D10) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (3)

A superunitary Fock model of the exceptional Lie supergroup \(\mathbb{D}(2, 1; \alpha)\) ⋮ Cohomology of Heisenberg Lie superalgebras ⋮ A Fock model and the Segal-Bargmann transform for the minimal representation of the orthosymplectic Lie superalgebra \(\mathfrak{osp}(m, 2 | 2n)\)

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