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@article{BWHex,
	Author = {Billey, S. and Warrington, G.},
	Date-Modified = {2019-05-19 12:05:17 +0300},
	Doi = {10.1023/a:1011279130416},
	Journal = {J. Algebraic Combin.},
	Number = 2,
	Pages = {111--136},
	Title = {{Kazhdan--Lusztig} polynomials for $321$-hexagon-avoiding permutations},
	Volume = 13,
	Year = 2001}

@article{BrentiCTP,
	Author = {Brenti, F.},
	Date-Modified = {2019-05-19 12:06:46 +0300},
	Doi = {10.1016/0097-3165(95)90000-4},
	Journal = {J. Combin. Theory Ser. A},
	Number = 2,
	Pages = {175--218},
	Title = {Combinatorics and total positivity},
	Volume = 71,
	Year = 1995}

@article{CHSSkanEKL,
	Author = {Clearman, S. and Hyatt, M. and Shelton, B. and Skandera, M.},
	Date-Modified = {2019-05-19 12:08:03 +0300},
	Fjournal = {Electronic Journal of Combinatorics},
	Journal = {Electron. J. Combin.},
	Mrclass = {20C08 (05E05 05E10)},
	Mrnumber = {3512629},
	Mrreviewer = {Michael Chmutov},
	Number = {2},
	Pages = {Paper P2.7, 56 pp},
	Title = {Evaluations of {H}ecke algebra traces at {K}azhdan-{L}usztig basis elements},
	Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i2p7},
	Volume = {23},
	Year = {2016}}

@article{Deodhar90,
	Author = {Deodhar, V.},
	Date-Modified = {2019-05-19 12:09:51 +0300},
	Doi = {10.1007/bf00181467},
	Journal = {Geom. Dedicata},
	Number = 1,
	Pages = {95-119},
	Title = {A combinatorial setting for questions in {Kazhdan--Lusztig} theory},
	Volume = 36,
	Year = 1990}

@article{FominTPTest,
	Author = {Fomin, S. and Zelevinsky, A.},
	Date-Modified = {2019-05-19 12:11:46 +0300},
	Doi = {10.1007/bf03024444},
	Journal = {Math. Intell.},
	Number = 1,
	Pages = {23--33},
	Title = {Total positivity: tests and parametrizations},
	Volume = 22,
	Year = {2000}}

@article{HaimanHecke,
	Author = {Haiman, M.},
	Date-Modified = {2019-05-19 12:12:26 +0300},
	Doi = {10.2307/2152777},
	Journal = {J. Amer. Math. Soc.},
	Number = 3,
	Pages = {569--595},
	Title = {Hecke algebra characters and immanant conjectures},
	Volume = 6,
	Year = 1993}

@misc{KLSBasesQMBIndSgn,
	Author = {Kaliszewski, R. and Lambright, J. and Skandera, M.},
	Date-Modified = {2019-05-19 12:14:22 +0300},
	Eprint = {1802.04856},
	Eprinttype = {arxiv},
	Note = {To appear in {\it J. Algebr. Comb.}},
	Title = {Bases of the quantum matrix bialgebra and induced sign characters of the {Hecke} algebra},
	Year = 2018}

@article{KLRepCH,
	Author = {Kazhdan, D. and Lusztig, G.},
	Date-Modified = {2019-05-19 12:15:41 +0300},
	Doi = {10.1007/bf01390031},
	Journal = {Invent. Math.},
	Pages = {165--184},
	Title = {{Representations of Coxeter groups and Hecke algebras}},
	Volume = 53,
	Year = 1979}

@article{KSkanQGJ,
	Author = {Konvalinka, M. and Skandera, M.},
	Date-Modified = {2019-05-19 12:16:35 +0300},
	Doi = {10.4153/cjm-2010-082-7},
	Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques},
	Journal = {Canad. J. Math.},
	Number = {2},
	Pages = {413--435},
	Title = {Generating functions for {H}ecke algebra characters},
	Volume = {63},
	Year = {2011}}

@incollection{LusztigTP,
	Author = {Lusztig, G.},
	Booktitle = {Lie Theory and Geometry: in Honor of Bertram Kostant},
	Date-Modified = {2019-05-19 12:17:01 +0300},
	Number = {123},
	Pages = {531-568},
	Publisher = {Birkh{\"a}user, Boston},
	Series = {Progress in Mathematics},
	Title = {Total positivity in reductive groups},
	Year = 1994}

@book{ManinQNoncommG,
	Author = {Manin, Y.},
	Date-Modified = {2019-05-19 12:17:42 +0300},
	Mrclass = {17A45 (16W30 17B37 46L87 81R50)},
	Mrnumber = {MR1016381 (91e:17001)},
	Mrreviewer = {S. Paul Smith},
	Publisher = {Universit\'e de Montr\'eal Centre de Recherches Math\'ematiques, Montreal, QC},
	Title = {Quantum Groups and Noncommutative Ceometry},
	Year = {1988}}

@article{SkanNNDCB,
	Author = {Skandera, M.},
	Date-Modified = {2019-05-19 12:18:57 +0300},
	Doi = {10.1016/j.jpaa.2007.09.007},
	Journal = {J.\ Pure Appl.\ Algebra},
	Number = {5},
	Pages = {1086-1104},
	Title = {On the dual canonical and {Kazhdan}--{Lusztig} bases and 3412, 4231-avoiding permutations},
	Volume = 212,
	Year = 2008}

@article{StemConj,
	Author = {Stembridge, J.},
	Date-Modified = {2019-05-19 12:20:56 +0300},
	Doi = {10.4153/cjm-1992-066-1},
	Journal = {Can. J. Math.},
	Number = 5,
	Pages = {1079--1099},
	Title = {Some conjectures for immanants},
	Volume = 44,
	Year = 1992}

@article{StemImm,
	Author = {Stembridge, J.},
	Date-Modified = {2019-05-19 12:19:39 +0300},
	Doi = {10.1112/blms/23.5.422},
	Journal = {Bull. London Math. Soc.},
	Number = {5},
	Pages = {422--428},
	Title = {Immanants of Totally Positive Matrices are Nonnegative},
	Volume = 23,
	Year = 1991}