Expressions for Catalan Kronecker Products
Combinatorics
2015-09-11 v1 Representation Theory
Abstract
We give some elementary manifestly positive formulae for the Kronecker products s_(d,d) * s_(d+k,d-k) and s_(d,d) * s_(2d-k,1^k). These formulae demonstrate some fundamental properties of the Kronecker coefficients, and we use them to deduce a number of enumerative and combinatorial results.
Cite
@article{arxiv.0809.3469,
title = {Expressions for Catalan Kronecker Products},
author = {Andrew Brown and Stephanie van Willigenburg and Mike Zabrocki},
journal= {arXiv preprint arXiv:0809.3469},
year = {2015}
}
Comments
19 pages