Asymmetric function theory
Combinatorics
2022-03-25 v1
Abstract
The classical theory of symmetric functions has a central position in algebraic combinatorics, bridging aspects of representation theory, combinatorics, and enumerative geometry. More recently, this theory has been fruitfully extended to the larger ring of quasisymmetric functions, with corresponding applications. Here, we survey recent work extending this theory further to general asymmetric polynomials.
Cite
@article{arxiv.1904.01358,
title = {Asymmetric function theory},
author = {Oliver Pechenik and Dominic Searles},
journal= {arXiv preprint arXiv:1904.01358},
year = {2022}
}
Comments
36 pages, 8 figures, 1 table. Written for the proceedings of the Schubert calculus conference in Guangzhou, Nov. 2017