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

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

27 May 2024arXiv:2405.16786links table onlyarchive 2025-07-28

Kevin Coulembier, Pavel Etingof, Victor Ostrik, Daniel Tubbenhauer

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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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