Demazure crystal structure for flagged reverse plane partitions

Demazure crystal structure for flagged reverse plane partitions

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....

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Veröffentlicht in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2024-10, Vol.134 (2), Article 29
1. Verfasser: Kundu, Siddheswar
Format: Artikel
Sprache:eng
Schlagworte:
Crystal structure
Flags
Isomorphism
Mathematics
Mathematics and Statistics
Polynomials
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Zusammenfassung: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.
ISSN:0973-7685
0253-4142
0973-7685
DOI:10.1007/s12044-024-00798-y