ArXiv.org · 1996 · 220 citations · 18 references
Natural SciencesMathematicsPhysicsAlgebraMathematical PhysicsRepresentation TheoryGauge TheoryGroup TheoryLie AlgebrasLie GroupsModel TheoryQuantum Field TheoryFinite-dimensional Lie AlgebrasLie Algebra ClassificationLie Algebra ModulesLie Algebra So(3)Lie Algebra TheoryLie SuperalgebrasRepresentation Theory Of Lie AlgebrasSimple Lie Algebras
The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet has two ambitious goals: to be elementary and easy to use. The beginner is supposed to find out here the main concepts on superalgebras, while a more experimented theorist should recognize the necessary tools and informations for a specific use.
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A sketch of Lie superalgebra theory
Victor G. Kač · Communications in Mathematical Physics · 1977 · 498 citations
Dynamical Supersymmetries in Nuclei
F. Iachello · Physical Review Letters · 1980 · 322 citations
Dimension and character formulas for Lie supergroups
A. B. Balantekin, Itzhak Bars · Journal of Mathematical Physics · 1981 · 190 citations