Abstract

We study central extensions of the Lie superalgebra \(\mathfrak{s}\mathfrak{l}_n(A)\) when A is a ℤ/2ℤ-graded superalgebra over a commutative ring K. Steinberg Lie superalgebras and their central extensions play an essential role. We use a ℤ/2ℤ-graded version of cyclic homology to study the center of the extensions in question.

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