The Levelwise Finite Generation of Free Tambara Functors

2025/08/11 by Emory Sun, Sun, Emory · 3 citations
Mathematics · #Holomorphic and Operator Theory #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2508.08340

Abstract

We prove the levelwise finite generation of free polynomial G-Tambara functors when G is a finite Dedekind group. In the process, we establish the permanence of various finiteness conditions under box products and norms n_H^G of Tambara functors, including a weak Hilbert Basis Theorem.

Cited by

• Inverting Integers in Tambara Functors
• The algebraic K-theory of Green functors
• Affine étale group schemes over Tambara fields

Related

• Norms of Generalized Mackey and Tambara Functors
• Ideals of Tambara functors
• Symmetric Powers and Norms of Mackey Functors
• Loday constructions of Tambara functors
• Inverting Integers in Tambara Functors