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

2015/09/24 by Heidersdorf, Th., Weissauer, R.
#17B10 #17B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1509.07443

Abstract

We derive a closed formula for the tensor product of a family of mixed tensors using Deligne's interpolating category Rep(GL₀). We use this formula to compute the tensor product between any two maximal atypical irreducible GL(2|2)-representations.

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