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      Serre presentations of Lie superalgebras

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          Abstract

          An analogue of Serre's theorem is established for finite dimensional simple Lie superalgebras, which describes presentations in terms of Chevalley generators and Serre type relations relative to all possible choices of Borel subalgebras. The proof of the theorem is conceptually transparent; it also provides an alternative approach to Serre's theorem for ordinary Lie algebras.

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          Most cited references18

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          Aq-difference analogue of U(g) and the Yang-Baxter equation

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            Lie superalgebras

            V.G Kac (1977)
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              Introduction to Lie Algebras and Representation Theory

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                Author and article information

                Journal
                16 January 2011
                Article
                1101.3114
                de1988c0-5d24-43f2-aa42-e47d3286c33f

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                17B05, 17B20, 17B22, 17B10
                45 pages
                math.RT hep-th math-ph math.MP

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