TY - JOUR
T1 - Combinatorics of Centers of 0-Hecke Algebras in Type A
AU - König, Sebastian
PY - 2023/8/11
Y1 - 2023/8/11
N2 - A basis of the center of the 0-Hecke algebra of an arbitrary finite Coxeter group was described by He in 2015. This basis corresponds to certain equivalence classes of the Coxeter group. We consider the case of the symmetric group Sn. Building on work of Geck, Kim and Pfeiffer, we obtain a complete set of representatives of the equivalence classes. This set is naturally parametrized by certain compositions of n called maximal. We develop an explicit combinatorial description for the equivalence classes that are parametrized by the maximal compositions whose odd parts form a hook.
AB - A basis of the center of the 0-Hecke algebra of an arbitrary finite Coxeter group was described by He in 2015. This basis corresponds to certain equivalence classes of the Coxeter group. We consider the case of the symmetric group Sn. Building on work of Geck, Kim and Pfeiffer, we obtain a complete set of representatives of the equivalence classes. This set is naturally parametrized by certain compositions of n called maximal. We develop an explicit combinatorial description for the equivalence classes that are parametrized by the maximal compositions whose odd parts form a hook.
UR - http://www.scopus.com/inward/record.url?scp=85167672689&partnerID=8YFLogxK
U2 - 10.37236/11126
DO - 10.37236/11126
M3 - Article
AN - SCOPUS:85167672689
VL - 30
JO - Electronic Journal of Combinatorics
JF - Electronic Journal of Combinatorics
SN - 1077-8926
IS - 3
M1 - P3.16
ER -