Graded cellularity and the Monotonicity Conjecture
Representation Theory
2014-10-09 v1
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.
Cite
@article{arxiv.1410.2136,
title = {Graded cellularity and the Monotonicity Conjecture},
author = {David Plaza},
journal= {arXiv preprint arXiv:1410.2136},
year = {2014}
}
Comments
23 pages, comments welcome