ON ROOT SUBSYSTEMS AND INVOLUTIONS IN S n

D. DERIZIOTIS, T. P. MCDONOUGH, C. A. PALLIKAROS
2010 Glasgow Mathematical Journal  
Given an involution z in W , where W is the symmetric group of degree n, we study the relation between the subsystems of a root system for W corresponding to certain decreasing subsequences of z and the two-sided Kazhdan-Lusztig cell of W containing z.
doi:10.1017/s0017089510000054 fatcat:hok2kcf7pfdtfmwfo24jhtmpqe