Noncommutative symmetric functions and skewing operators

Byung-Hak Hwang

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arXiv · 2305.08132

Noncommutative symmetric functions and skewing operators

Byung-Hak Hwang

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Abstract

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.

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Byung-Hak Hwang. 2023-05-14. Noncommutative symmetric functions and skewing operators. https://arxiv.org/abs/2305.08132

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