Geodesic
Bases of the Quantum Matrix Bialgebra and Induced Sign Characters of the Hecke Algebra
Séminaire lotharingien de combinatoire, 80B (2018)
Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

Voir la notice de l'acte

We combinatorially describe the transition matrices which relate monomial bases of the zero-weight space of the quantum matrix bialgebra. This description leads to a combinatorial rule for evaluating induced sign characters of the (type A) Hecke algebra Hn(q) at all elements of the form (1 + Tsi1) ... (1 + Tsim), including the Kazhdan-Lusztig basis elements indexed by 321-hexagon-avoiding permutations. This result is the first subtraction-free rule for evaluating any character at all elements of a basis of Hn(q). 

@article{SLC_2018_80B_a73,
     author = {Ryan Kaliszewski and Justin Lambright, and Mark Skandera},
     title = {Bases of the {Quantum} {Matrix} {Bialgebra} and {Induced} {Sign} {Characters} of the {Hecke} {Algebra}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2018},
     volume = {80B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a73/}
}
TY  - JOUR
AU  - Ryan Kaliszewski
AU  - Justin Lambright,
AU  - Mark Skandera
TI  - Bases of the Quantum Matrix Bialgebra and Induced Sign Characters of the Hecke Algebra
JO  - Séminaire lotharingien de combinatoire
PY  - 2018
VL  - 80B
UR  - http://geodesic.mathdoc.fr/item/SLC_2018_80B_a73/
ID  - SLC_2018_80B_a73
ER  - 
%0 Journal Article
%A Ryan Kaliszewski
%A Justin Lambright,
%A Mark Skandera
%T Bases of the Quantum Matrix Bialgebra and Induced Sign Characters of the Hecke Algebra
%J Séminaire lotharingien de combinatoire
%D 2018
%V 80B
%U http://geodesic.mathdoc.fr/item/SLC_2018_80B_a73/
%F SLC_2018_80B_a73
Ryan Kaliszewski; Justin Lambright,; Mark Skandera. Bases of the Quantum Matrix Bialgebra and Induced Sign Characters of the Hecke Algebra. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a73/