Permutations with Kazhdan-Lusztig polynomial \(P_{id,w}(q)=1+q^{h}\). With an appendix by Sara Billey and Jonathan Weed
The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2
Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations $w$ with Kazhdan-Lusztig polynomial $P_{id,w}(q)=1+q^h$ for some $h$. (Appendix by Sara Billey and Jonathan Weed)
@article{10_37236_76,
author = {Alexander Woo},
title = {Permutations with {Kazhdan-Lusztig} polynomial {\(P_{id,w}(q)=1+q^{h}\).} {With} an appendix by {Sara} {Billey} and {Jonathan} {Weed}},
journal = {The electronic journal of combinatorics},
year = {2009},
volume = {16},
number = {2},
doi = {10.37236/76},
zbl = {1195.14072},
url = {http://geodesic.mathdoc.fr/articles/10.37236/76/}
}
TY - JOUR
AU - Alexander Woo
TI - Permutations with Kazhdan-Lusztig polynomial \(P_{id,w}(q)=1+q^{h}\). With an appendix by Sara Billey and Jonathan Weed
JO - The electronic journal of combinatorics
PY - 2009
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/76/
DO - 10.37236/76
ID - 10_37236_76
ER -
%0 Journal Article
%A Alexander Woo
%T Permutations with Kazhdan-Lusztig polynomial \(P_{id,w}(q)=1+q^{h}\). With an appendix by Sara Billey and Jonathan Weed
%J The electronic journal of combinatorics
%D 2009
%V 16
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/76/
%R 10.37236/76
%F 10_37236_76
Alexander Woo. Permutations with Kazhdan-Lusztig polynomial \(P_{id,w}(q)=1+q^{h}\). With an appendix by Sara Billey and Jonathan Weed. The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2. doi: 10.37236/76
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