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

Autor:	Coulembier, Kevin, Etingof, Pavel, Ostrik, Victor, Tubbenhauer, Daniel
Rok vydání:	2024
Předmět:	Mathematics - Representation Theory Mathematics - Category Theory Mathematics - Rings and Algebras Primary: 11N45 18M05 Secondary: 11B85 26A12 30B30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 41 pages, many figures, revision, to appear in Contemp. Math., comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.16786 Zobrazit plný text záznamu View this record from Arxiv