Abstract
We derive a closed formula for the tensor product of a family of mixed tensors using Deligne’s interpolating category \(\underline {Rep}(GL_{0})\). We use this formula to compute the tensor product of a family of irreducible GL(n|n)-representations. This includes the tensor product of any two maximal atypical irreducible representations of GL(2|2).
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Heidersdorf, T., Weissauer, R. Pieri Type Rules and GL(2|2) Tensor Products. Algebr Represent Theor 24, 425–451 (2021). https://doi.org/10.1007/s10468-020-09954-0
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DOI: https://doi.org/10.1007/s10468-020-09954-0