Fix a rectangular Young diagram R, and consider all the products of Schur functions ssc , where and c run over all (unordered) pairs of partitions which are complementary with re...
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual of the bialgebra of symmetric functions in noncommutative ...
In this paper, we study Grothendieck polynomials indexed by Grassmannian permutations from a combinatorial viewpoint. We introduce the factorial Grothendieck polynomials which are...
Abstract. The main goal of our work is to formally prove the correctness of the key commands of the SCHUR software, an interactive program for calculating with characters of Lie gr...
Consider the problem of partitioning n nonnegative numbers into p parts, where part i can be assigned ni numbers with ni lying in a given range. The goal is to maximize a Schur con...
F. H. Chang, H. B. Chen, J. Y. Guo, Frank K. Hwang...