TY - JOUR
T1 - On double cosets with the trivial intersection property and kazhdan-lusztig cells in Sn
AU - McDonough, Thomas P.
AU - Pallikaros, Christos A.
PY - 2015
Y1 - 2015
N2 - For a composition λ of n our aim is to obtain reduced forms for all the elements in the Kazhdan-Lusztig (right) cell containing wJ(λ), the longest element of the standard parabolic subgroup of Sn corresponding to λ. We investigate how far this is possible to achieve by looking at elements of the form wJ(λ)d, where d is a prefix of an element of minimum length in a (WJ(λ), B) double coset with the trivial intersection property, B being a parabolic subgroup of Sn whose type is ‘dual’ to that of WJ(λ).
AB - For a composition λ of n our aim is to obtain reduced forms for all the elements in the Kazhdan-Lusztig (right) cell containing wJ(λ), the longest element of the standard parabolic subgroup of Sn corresponding to λ. We investigate how far this is possible to achieve by looking at elements of the form wJ(λ)d, where d is a prefix of an element of minimum length in a (WJ(λ), B) double coset with the trivial intersection property, B being a parabolic subgroup of Sn whose type is ‘dual’ to that of WJ(λ).
KW - Generalized tableau
KW - Hecke algebra
KW - Kazhdan-Lusztig cell
KW - Parabolic subgroup
KW - Symmetric group
UR - http://www.scopus.com/inward/record.url?scp=84932136470&partnerID=8YFLogxK
UR - http://hdl.handle.net/2160/44952
M3 - Article
SN - 2251-7650
VL - 4
SP - 25
EP - 48
JO - International Journal of Group Theory
JF - International Journal of Group Theory
IS - 2
ER -