Nicholas Davidson, Jonathan R. Kujawa, Robert Muth
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We establish classical and categorical Howe dualities between the Lie superalgebras \(\mathfrak {p}(m)\) and \(\mathfrak {p}(n)\), for \(m,n \ge 1\). We also describe a presentation via generators and relations as well as a Kostant \(\mathbb {Z}\)-form for the universal enveloping superalgebra \(U(\mathfrak {p}(m))\).
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