Universality of high-strength tensors

DOI10.1007/s10013-021-00522-7zbMath1490.14097arXiv2105.00016OpenAlexW3201783799WikidataQ114228679 ScholiaQ114228679MaRDI QIDQ2135094

Arthur Bik, Jan Draisma, Alessandro Danelon, Rob H. Eggermont

Publication date: 4 May 2022

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00016

zbMATH Keywords

strengthpolynomial functorGL-varietiesinfinite tensors

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Multilinear algebra, tensor calculus (15A69) Group actions on affine varieties (14R20) Canonical forms, reductions, classification (15A21)

Related Items

Ultrahomogeneous tensor spaces

Cites Work

• Unnamed Item
• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• The decomposition of tensors over fields of prime characteristic
• Cohomology of finite group schemes over a field
• Topological noetherianity for cubic polynomials
• On ranks of polynomials
• Properties of high rank subvarieties of affine spaces
• Big polynomial rings with imperfect coefficient fields
• Big polynomial rings and Stillman's conjecture
• Strength and Hartshorne's conjecture in high degree
• Strength conditions, small subalgebras, and Stillman bounds in degree ≤4
• Small subalgebras of polynomial rings and Stillman’s Conjecture
• Topological Noetherianity of polynomial functors
• Polynomials and tensors of bounded strength