Solution of a Sperner conjecture of Stanley with a construction of Gelfand
A conjecture of Stanley states that the lattice of bounded column strict plane partitions of fixed shape is Sperner. The author has proved this conjecture using his previous general \(S\ell (3)\) method combined with an explicit construction of \(g\ell (n)\) modules due to Gelfand and Zetlin. It is also proved that under certain conditions the quotient of a Peck poset by a group action is Peck.
scientific article; zbMATH DE number 4200206
scientific article