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arXiv · 2405.16786

Fractal behavior of tensor powers of the two dimensional space in prime characteristic

Kevin Coulembier·Pavel Etingof·Victor Ostrik·Daniel Tubbenhauer
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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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Kevin Coulembier, Pavel Etingof, Victor Ostrik, Daniel Tubbenhauer. 2024-05-27. Fractal behavior of tensor powers of the two dimensional space in prime characteristic. https://doi.org/10.1090/conm%2F829%2F16546

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