arXiv Open Access 2022

Fundamental invariants of tensors, Latin hypercubes, and rectangular Kronecker coefficients

Alimzhan Amanov Damir Yeliussizov

Lihat Sumber

Abstrak

We study polynomial SL-invariants of tensors, mainly focusing on fundamental invariants which 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.

Topik & Kata Kunci

math.CO math.AC math.RT

Penulis (2)

Alimzhan Amanov

Damir Yeliussizov

Format Sitasi

APA MLA BibTeX

Amanov, A., Yeliussizov, D. (2022). Fundamental invariants of tensors, Latin hypercubes, and rectangular Kronecker coefficients. https://arxiv.org/abs/2202.11059

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓