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Fractal behavior of tensor powers of the two dimensional space in prime characteristic (2405.16786v2)

Published 27 May 2024 in math.RT, math.CT, and math.RA

Abstract: We study the number of indecomposable summands in tensor powers of the vector representation of SL2. Our main focus is on positive characteristic where this sequence of numbers and its generating function show fractal behavior akin to Mahler functions.

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