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

Published 24 Sep 2015 in math.RT, math-ph, and math.MP | (1509.07443v3)

Abstract: We derive a closed formula for the tensor product of a family of mixed tensors using Deligne's interpolating category $Rep(GL_{0})$. We use this formula to compute the tensor product between any two maximal atypical irreducible $GL(2|2)$-representations.

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