We establish classical and categorical Howe dualities between the Lie superalgebras p(m) p ( m ) and p(n) p ( n ) , for m,n ≥ 1 m , n ≥ 1 . We also describe a presentation via generators and relations as well as a Kostant Z Z -form for the universal enveloping superalgebra U(p(m)) U ( p ( m ) ) .
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Davidson et al. (2024) studied this question.
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