Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation

DOI10.1142/S021902572050023XzbMath1493.22011MaRDI QIDQ5150264

Anis Riahi, Hafedh Rguigui, Ziyad A. Alhussain, Habib Rebei

Publication date: 10 February 2021

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

holomorphic representationquadratic Heisenberg groupPSU(1, 1)

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80)

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Cites Work

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