arXiv:2405.16786 Abstract | arXiv Analytics

arXiv:2405.16786 [math.RT]Abstract References Reviews Resources

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

Kevin Coulembier, Pavel Etingof, Victor Ostrik, Daniel Tubbenhauer

Published 2024-05-27Version 1

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.

Comments: 40 pages, many figures, comments welcome

Categories: math.RT, math.CT, math.RA

Subjects: 11N45, 18M05, 11B85, 26A12, 30B30

Keywords: tensor powers, dimensional space, prime characteristic, fractal behavior akin, mahler functions

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