Formal relations between classical superalgebras and fermion–boson creation and annihilation operators

DOI10.1063/1.526047zbMath0558.17005OpenAlexW2084486126MaRDI QIDQ3223006

Dun-Sang Tang

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526047

zbMATH Keywords

Cartan matrixroot systemsLie superalgebrasfermionsoscillator representationscreationbosonsannihilation operatorsoperator realizations

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) Applications of Lie groups to the sciences; explicit representations (22E70) Superalgebras (17A70)

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Cites Work

• Irreducible representations of SU(m/n)
• Fock space representations of the Lie superalgebra A(0,n)
• Dimension and character formulas for Lie supergroups
• Linear Canonical Transformations and Their Unitary Representations
• Lie superalgebras