Graded cellularity and the Monotonicity Conjecture

2014/10/08 by Plaza, David · 1 citation
#Combinatorics #FOS: Mathematics #Representation Theory #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1410.2136

Abstract

The graded cellularity of Libedinsky Double Leaves, which form a basis for the endomorphism ring of the Bott_Samelson_Soergel bimodules, allows us to view the Kazhdan_Lusztig polynomials as graded decomposition numbers. Using this point of view, I provide in this paper a new proof of the monotonicity conjecture for the Kazhdan_Lusztig polynomials of any Coxeter system.

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