Demazure crystal structure for flagged reverse plane partitions

2023/09/19 by Siddheswar Kundu, Kundu, Siddheswar · 1 citation
Mathematics · #05E05 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2309.10709

openalex publication_date 2023/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a skew shape λ/ μ and a flag Φ, we show that the set of all flagged reverse plane partitions of shape λ/ μ and flag Φ is a disjoint union of Demazure crystals (up to isomorphism). As a result, the flagged dual stable Grothendieck polynomial g_λ/μ(X_Φ) is shown to be key positive.

Cited by

• Hybrid Grothendieck polynomials

Related

• Key expansion of the flagged refined skew stable Grothendieck polynomial
• Demazure crystals for flagged key polynomials
• A Local Characterization of Unions of Demazure Crystals
• Closed Colored Models and Demazure Crystals
• Demazure crystals of generalized Verma modules and a flagged RSK correspondence