Wende Liu
Abstract
Let L be a Lie superalgebra with universal enveloping superalgebra U(L). We prove that if H is another Lie superalgebra with the property that U(L)U(H) as superalgebras then certain invariants of L are inherited by H. Moreover,we show that if L is nilpotent of class at most two then L is isomorphic to H.
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Let L be a Lie superalgebra with universal enveloping superalgebra U(L). We prove that if H is another Lie superalgebra with the property that U(L)U(H) as superalgebras then certain invariants of L are inherited by H. Moreover,we show that if L is nilpotent of class at most two then L is isomorphic to H.
Key concepts: Lie superalgebra, Isomorphism (crystallography), Superalgebra, Mathematics, Pure mathematics, Class (philosophy), Nilpotent, Property (philosophy)