Enumeration of symmetric Gelfand--Tsetlin patterns by linear algebra
Combinatorics
2020-01-01 v1
Abstract
We shall present a ``linear algebraic'' proof (involving some calculations in the algebra of linear operators on a vector space of polynomials and some manipulations of determinants) of the formula for the enumeration of symmetric Gelfand--Tsetlin patterns with fixed bottom row, which was proved by Tri Lai in the context of enumerating symmetric lozenge tilings of a ``halved'' hexagon with ``dents''.
Keywords
Cite
@article{arxiv.1912.12692,
title = {Enumeration of symmetric Gelfand--Tsetlin patterns by linear algebra},
author = {Markus Fulmek},
journal= {arXiv preprint arXiv:1912.12692},
year = {2020}
}