-Catalan numbers and Littlewood-Richardson polynomials
arXiv:2110.12095
Abstract
In this note, we study two generalizations of the Catalan numbers, namely the -Catalan numbers and the spin -Catalan numbers. These numbers first appeared in relation to quantum physics problems about spin multiplicities. We give a combinatorial description for these numbers in terms of Littlewood-Richardson coefficients, and explain some of the properties they exhibit in terms of Littlewood-Richardson polynomials.
8 pages; Comments welcome