Pieri type rules and $GL(2|2)$ tensor products

Abstract

We derive a closed formula for the tensor product of a family of mixed tensors using Deligne's interpolating category $Rep(G{L}_0)$. We use this formula to compute the tensor product between any two maximal atypical irreducible $GL(2|2)$-representations.

v3: Some beautifications. To appear in 'Algebra and Representation Theory' v2: Extended some results from n=2 to arbitrary n. Comments welcome

References in corpus (4)

• On associated variety for Lie superalgebras
• Superspace conformal field theory
• Tensor products of psl(2|2) representations
• Model structures, categorial quotients and representations of super commutative Hopf algebras II, The case Gl(m,n)