
doi: 10.5802/jolt.1056
handle: 11585/726813
Summary: We study how the real forms \(\mathfrak g\) of contragredient Lie superalgebras are determined by their even parts. We prove that if the even parts of \(\mathfrak g\) and \(\mathfrak g'\) are inner isomorphic, then \(\mathfrak g\) and \(\mathfrak g'\) are inner isomorphic. Also, if the even parts of \(\mathfrak g\) and \(\mathfrak g'\) are isomorphic, then \(\mathfrak g\) and \(\mathfrak g'\) are isomorphic.
contragradient Lie superalgebras, Automorphisms, derivations, other operators for Lie algebras and super algebras, Contragredient Lie superalgebras; real forms; Dynkin diagrams, real forms, Root systems, Simple, semisimple, reductive (super)algebras, Dynkin diagrams
contragradient Lie superalgebras, Automorphisms, derivations, other operators for Lie algebras and super algebras, Contragredient Lie superalgebras; real forms; Dynkin diagrams, real forms, Root systems, Simple, semisimple, reductive (super)algebras, Dynkin diagrams
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