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

Autor: Amanov, Alimzhan, Yeliussizov, Damir
Předmět:
Zdroj: IMRN: International Mathematics Research Notices; Oct2023, Vol. 2023 Issue 20, p17552-17599, 48p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index