Pircon kernels and up-down symmetry
Combinatorics
2020-09-14 v1
Abstract
We show that a symmetry property that we call the up-down symmetry implies that the Kazhdan--Lusztig -polynomials of a pircon are a -kernel, and we show that this property holds in the classical cases. Then, we enhance and extend to this context a duality of Deodhar in parabolic Kazhdan--Lusztig theory.
Cite
@article{arxiv.2009.05374,
title = {Pircon kernels and up-down symmetry},
author = {Fabrizio Caselli and Mario Marietti},
journal= {arXiv preprint arXiv:2009.05374},
year = {2020}
}
Comments
to appear in Journal of Algebra. arXiv admin note: substantial text overlap with arXiv:1907.00858