Canonical realizations of Lie superalgebras: Ladder representations of the Lie superalgebra A(m,n)

DOI10.1063/1.524781zbMath0466.17006OpenAlexW2024713017MaRDI QIDQ3918276

Tchavdar D. Palev

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524781

zbMATH Keywords

Fock representationBose and Fermi creation and annihilation operatorsirreducible representations of simple Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Superalgebras (17A70)

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Cites Work

• A sketch of Lie superalgebra theory
• Graded Lie algebras: Generalization of Hermitian representations
• Gel'fand-Kirillov Conjecture on the Lie Field of an Algebraic Lie Algebra
• Irreducibility of the Ladder Representations of U(2, 2) when Restricted to the Poincaré Subgroup
• Lie superalgebras