UNSTABLE ALGEBRAS OVER AN OPERAD II

被引：0

作者：

Ikonicoff, Sacha ^{[1
]}

机构：

[1] Univ Ottawa, Dept Math & Stat, STEM Complex, 150 Louis Pasteur Pvt, Ottawa, ON K1N 6N5, Canada

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2024年 / 26卷 / 01期

关键词：

Steenrod algebra; bialgebra; unstable module; operad; POLYNOMIAL ALGEBRAS; STEENROD ALGEBRA; MODULES; CONJECTURE; MAPS;

D O I：

10.4310/HHA.2024.v26.n1.a4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We work over the finite field F-q. We introduce a notion of unstable P-algebra over an operad P. We show that the unstable P-algebra freely generated by an unstable module is itself a free P-algebra under suitable conditions. We introduce a family of 'q-level' operads which allows us to identify unstable modules studied by Brown-Gitler, Miller and Carlsson in terms of free unstable q-level algebras.

引用

页码：37 / 67

页数：31