DOI: 10.1093/imrn/rnag248 ISSN: 1073-7928

A Lam–Postnikov–Pylyavskyy inequality for hybrid Grothendieck polynomials

Peter L Guo, Mingyang Kang, Jiaji Liu
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Abstract

We prove a multivariate Lam–Postnikov–Pylyavskyy(LPP)-type inequality for hybrid Grothendieck polynomials, unifying and refining results for stable and dual stable Grothendieck polynomials established by Chan–Chen–Pak–Soskin. We also conjecture extensions of the LPP inequality and a conjecture by Thomas–Yong to the (equivariant) Schubert and Grothendieck polynomial setting.

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