2021/09/09 by Nicholas Davidson, Davidson, Nicholas, Jonathan R. Kujawa +3
Mathematics · #17B10 #18D10 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B10 #msc:18D10
paper · pdf · doi:10.48550/arxiv.2109.03984
arxiv created 2021/09/09 · arxiv updated 2021/09/10
We establish classical and categorical Howe dualities between the Lie superalgebras \mathfrakp(m) and \mathfrakp(n), for m,n ≥ 1. We also describe a presentation via generators and relations as well as a Kostant ℤ-form for the universal enveloping superalgebra U(\mathfrakp(m)).