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arXiv · 1904.01358

Asymmetric function theory

Oliver Pechenik·Dominic Searles
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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.

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Oliver Pechenik, Dominic Searles. 2019-04-02. Asymmetric function theory. https://doi.org/10.1007/978-981-15-7451-1_5

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