Hermitean Oscillator-like Realizations of Classical Algebras and Superalgebras in Hilbert Space with Positive Definite Metric

DOI10.1002/prop.19860341002zbMath0604.17002OpenAlexW2068834268MaRDI QIDQ3741767

Anatol Nowicki

Publication date: 1986

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/prop.19860341002

zbMATH Keywords

superalgebrasHermitean realizationsquaternionic unitary superalgebrareal orthosymplectic superalgebraunitary compact superalgebraunitary noncompact

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (3)

On the boson–quasifermion realization of the particle–hole SO(2Ω+1) algebra ⋮ Unitary Sugawara constructions for affine superalgebras ⋮ Affine superalgebras, unitary representations and the Sugawara construction

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