An Analogue of Holstein-Primakoff and Dyson Realizations for Lie Superalgebras. The Lie Superalgebra sl(1/n)

DOI10.2991/JNMP.1997.4.3-4.5zbMATH Open0955.17006arXivhep-th/9607221OpenAlexW2054125972MaRDI QIDQ4497800

T. D. Palev

Publication date: 23 August 2000

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

Abstract: An analogue of the Holstein-Primakoff and of the Dyson realization for the Lie superalgebra $sl(1/n)$ is written down. The expressions are formally the same as for the Lie algebra $sl(n+1)$, however in the latter the Bose operators have to be replaced with Fermi operators.

Full work available at URL: https://arxiv.org/abs/hep-th/9607221

zbMATH Keywords

H-P and D realizationsLie superalgebra \(sl(1/n)\)replacement of Bose operators with Fermi operators

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Superalgebras (17A70) Graded Lie (super)algebras (17B70)

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The Holstein - Primakoff and Dyson realizations for the Lie superalgebragl(m/n+ 1)

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