The center of $Dist(GL(m|n))$ in positive characteristic

preprint2014arXivOpen access

The purpose of this paper is to investigate central elements in distribution algebras $Dist(G)$ of general linear supergroups $G=GL(m|n)$ . As an application, we compute explicitly the center of $Dist(GL(1|1))$ and its image under Harish-Chandra homomorphism.

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The center of $Dist(GL(m|n))$ in positive characteristic

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The center of Dist(GL(m∣n))Dist(GL(m|n))Dist(GL(m∣n)) in positive characteristic

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The center of $Dist(GL(m|n))$ in positive characteristic