2019/12/29 by Fulmek, Markus
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1912.12692
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''.