Hybrid Pipe Dreams for Key Polynomials
Yihan Xiao, Rui Xiong, Haofeng Zhang
TL;DR
This paper introduces a new combinatorial model called hybrid pipe dreams for key polynomials, extending the pipe dream approach used for Schubert polynomials to a broader class of polynomials.
Contribution
It develops a novel hybrid pipe dream model for key polynomials, expanding combinatorial tools in algebraic combinatorics.
Findings
New combinatorial model for key polynomials
Extension of pipe dream techniques to key polynomials
Potential applications in algebraic geometry and representation theory
Abstract
We develop a family of new combinatorial models for key polynomials. It is similar to the hybrid pipe dream model for Schubert polynomials defined recently by Knutson and Udell.
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Taxonomy
TopicsNumerical Methods and Algorithms