Fundamental Invariants of Tensors, Latin Hypercubes, and Rectangular Kronecker Coefficients
Amanov A. Yeliussizov D.
1 October 2023Oxford University Press
International Mathematics Research Notices
2023#2023Issue 2017552 - 17599 pp.
We study polynomial SL-invariants of tensors, mainly focusing on fundamental invariants that are of smallest degrees. In particular, we prove that certain 3-dimensional analogue of the Alon-Tarsi conjecture on Latin cubes considered previously by Bürgisser and Ikenmeyer implies positivity of (generalized) Kronecker coefficients at rectangular partitions and as a result provides values for degree sequences of fundamental invariants.
Text of the article Перейти на текст статьи
Kazakh-British Technical University, 59 Tole bi st, Almaty, 050000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Kazakh-British Technical University
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026