Fundamental Invariants of Tensors, Latin Hypercubes, and Rectangular Kronecker Coefficients-Reference-Cited by-同舟云学术

Fundamental Invariants of Tensors, Latin Hypercubes, and Rectangular Kronecker Coefficients

Published:2022-11-25 Issue:20 Volume:2023 Page:17552-17599
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Amanov Alimzhan¹²,Yeliussizov Damir¹²

Affiliation:

1. Kazakh-British Technical University , 59 Tole bi st, Almaty, 050000, Kazakhstan

2. Institute of Mathematics and Mathematical Modeling , Almaty, Kazakhstan

Abstract

Abstract 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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2023/20/17552/52414566/rnac311.pdf

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