Year: 2017
Type: preprint
Abstract: A fundamental problem in the representation theory of the symmetric group, Sn, is to describe the coefficients in the decomposition of a tensor product of two simple representations. These coefficients are known in the literature as the Kronecker coefficients. The Littlewood--Richardson coefficients appear as an important subfamily of the wider class of stable Kronecker coefficients. This subfamily of coefficients can be calculated using a tableaux counting algorithm known as the Littlewood--Richardson rule. This paper generalises one half of this rule (the "co-Pieri" rule) to the the wider family of stable Kronecker coefficients.
Source: arXiv (Cornell University)
Authors: Bowman, C., De Visscher, M., Enyang, J.
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2763970474