Homotopical operadic calculus in positive characteristic

Autor:	Grignou, Brice Le, Lucio, Victor Roca i
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Topology Mathematics - Category Theory 18M70 18N40 18N55 18N60
Druh dokumentu:	Working Paper
Popis:	Algebraic operads provide a powerful tool to understand the homotopy theory of the types of (co)algebras they encode. So far, the principal results and methods that this theory provides were only available in characteristic zero. The reason is that operads carry an action of all the symmetric groups, whose representation theory becomes much more involved in positive characteristic. The goal of this paper is to extend these results and methods to a positive characteristic setting. We solve the main problems that appear in this new setting by using the notion of a quasi-planar cooperad as the building block of the theory. Comment: 125 pages. Minor improvements. Added results in section 2. Comments are still welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.13095 Zobrazit plný text záznamu View this record from Arxiv