Universality of High-Strength Tensors.
Publisher DOI
PubMed ID
35535306
Abstract
A theorem due to Kazhdan and Ziegler implies that, by substituting linear forms for its variables, a homogeneous polynomial of sufficiently high strength specialises to any given polynomial of the same degree in a bounded number of variables. Using entirely different techniques, we extend this theorem to arbitrary polynomial functors. As a corollary of our work, we show that specialisation induces a quasi-order on elements in polynomial functors, and that among the elements with a dense orbit there are unique smallest and largest equivalence classes in this quasi-order.
Date Issued
2022
Publication Type
Article
Subject(s)
Subjects
GL-varieties Infinite tensors Polynomial functor Strength
Language(s)
en
Author(s)
Bik, Arthur | |
Danelon, Alessandro | |
Eggermont, Rob H |
Additional Credits
Journal
Vietnam journal of mathematics
Publisher
Springer
ISSN
2305-2228
Access(Rights)
open.access