Atoms and charge in type $C_2$

Tytuł:
Atoms and charge in type $C_2$
Czasopismo:
ALGEBRAIC COMBINATORICS
Rok:
2025

Opis:
https://ruj.uj.edu.pl/handle/item/553665 We construct atomic decompositions for crystals of type C2 and use them to define a charge statistic, thus providing positive combinatorial formulas for the corresponding Kostka–Foulkes polynomials. Our methods include Kashiwara–Nakashima tableaux combinatorics as well as the combinatorics of string polytopes and twisted Bruhat graphs.

Strony:
521-574

Tom (seria wydawnicza):
Vol. 8, no. 2

Numer DOI:
10.5802/alco.411

Link:
https://alco.centre-mersenne.org/articles/10.5802/alco.411/