TY - JOUR
T1 - Conjectures P1-P15 for Coxeter groups with complete graph
AU - Xie, Xun
N1 - Publisher Copyright:
© 2021 Elsevier Inc.
PY - 2021/3/5
Y1 - 2021/3/5
N2 - We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using decreasing induction on a-values and a kind of factorization formula of Kazhdan-Lusztig basis elements. As a byproduct, we give a description of the left, right, and two-sided cells. In the appendix, we prove P1-P15 for right-angled Coxeter groups by the same methods.
AB - We prove Lusztig's conjectures P1-P15 for Coxeter groups with complete graph, using decreasing induction on a-values and a kind of factorization formula of Kazhdan-Lusztig basis elements. As a byproduct, we give a description of the left, right, and two-sided cells. In the appendix, we prove P1-P15 for right-angled Coxeter groups by the same methods.
KW - Conjectures P1-P15
KW - Coxeter groups with complete graph
KW - Factorization formula
KW - Lusztig's a-function
KW - Right-angled Coxeter groups
UR - http://www.scopus.com/inward/record.url?scp=85099174246&partnerID=8YFLogxK
U2 - 10.1016/j.aim.2021.107565
DO - 10.1016/j.aim.2021.107565
M3 - Article
AN - SCOPUS:85099174246
SN - 0001-8708
VL - 379
JO - Advances in Mathematics
JF - Advances in Mathematics
M1 - 107565
ER -