2023/05/14 by Byung-Hak Hwang, Hwang, Byung-Hak
Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics
paper · pdf · doi:10.48550/arxiv.2305.08132
Skewing operators play a central role in the symmetric function theory because of the importance of the product structure of the symmetric function space. The theory of noncommutative symmetric functions is a useful tool for studying expansions of a given symmetric function in terms of various bases. In this paper, we establish a further development of the theory for studying skewing operators. Using this machinery, we are able to easily reproduce the Littlewood--Richardson rule, and provide recurrence relations for chromatic quasisymmetric functions, which generalizes Harada--Precup's recurrence.