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The centre of enveloping algebra for Lie superalgebra Q(n,\({\mathbb{C}})\). (English) Zbl 0539.17003
The author considers the Lie superalgebra \({\mathfrak g}=Q(n,{\mathbb{C}})\subset {\mathfrak gl}(n,n)\) consisting of all block matrices \(\left( \begin{matrix} A\quad B\\ B\quad A\end{matrix} \right)\) with arbitrary complex \(n\times n\)- matrices A and B. He explicitly describes (without proof) the algebra of all \({\mathfrak g}\)-invariant elements of the supersymmetric algebra \(S({\mathfrak g})\) and the center of the universal enveloping algebra \(U({\mathfrak g})\).
Reviewer: M.Scheunert

17A70 Superalgebras
Full Text: DOI
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