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@article{MR3891109,
	Author = {Ahlbach, C. and Swanson, J. P.},
	Date-Modified = {2019-05-14 14:18:59 +0300},
	Fjournal = {Electronic Journal of Combinatorics},
	Journal = {Electron. J. Combin.},
	Number = {4},
	Pages = {Paper 4.42, 38 pp},
	Title = {Cyclic sieving, necklaces, and branching rules related to {T}hrall's problem},
	Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v25i4p42},
	Volume = {25},
	Year = {2018}}

@article{MR2837599,
	Author = {Berget, A. and Eu, S.-P. and Reiner, V.},
	Coden = {SJDMEC},
	Date-Modified = {2019-05-14 14:21:14 +0300},
	Doi = {10.1137/100803596},
	Fjournal = {SIAM Journal on Discrete Mathematics},
	Journal = {SIAM J. Discrete Math.},
	Number = {3},
	Pages = {1297--1314},
	Title = {Constructions for cyclic sieving phenomena},
	Volume = {25},
	Year = {2011}}

@article{klyachko74,
	Author = {Klyachko, A. A.},
	Journal = {Siberian Mathematical Journal},
	Number = {6},
	Pages = {914--920},
	Title = {Lie elements in the tensor algebra},
	Volume = {15},
	Year = {1974}}

@article{MR1867283,
	Author = {Kra{\'s}kiewicz, W. and Weyman, J.},
	Fjournal = {Bayreuther Mathematische Schriften},
	Journal = {Bayreuth. Math. Schr.},
	Number = {63},
	Pages = {265--284},
	Title = {Algebra of coinvariants and the action of a {C}oxeter element},
	Year = {2001}}

@article{MR2087303,
	Author = {Reiner, V. and Stanton, D. and White, D.},
	Coden = {JCBTA7},
	Date-Modified = {2019-05-14 14:23:24 +0300},
	Doi = {10.1016/j.jcta.2004.04.009},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Journal = {J. Combin. Theory Ser. A},
	Number = {1},
	Pages = {17--50},
	Title = {The cyclic sieving phenomenon},
	Volume = {108},
	Year = {2004}}

@article{MR1023791,
	Author = {Stembridge, J. R.},
	Coden = {PJMAAI},
	Date-Modified = {2019-05-14 14:26:30 +0300},
	Fjournal = {Pacific Journal of Mathematics},
	Journal = {Pacific J. Math.},
	Number = {2},
	Pages = {353--396},
	Title = {On the eigenvalues of representations of reflection groups and wreath products},
	Url = {http://projecteuclid.org/euclid.pjm/1102646930},
	Volume = {140},
	Year = {1989}}

@article{MR0006149,
	Author = {Thrall, R. M.},
	Date-Modified = {2019-05-14 14:27:29 +0300},
	Doi = {10.2307/2371691},
	Fjournal = {American Journal of Mathematics},
	Journal = {Amer. J. Math.},
	Pages = {371--388},
	Title = {On symmetrized {K}ronecker powers and the structure of the free {L}ie ring},
	Volume = {64},
	Year = {1942}}

@article{MR1984625,
	Author = {Schocker, M.},
	Date-Modified = {2019-05-14 14:24:36 +0300},
	Doi = {10.1017/S144678870000344X},
	Fjournal = {Journal of the Australian Mathematical Society},
	Journal = {J. Aust. Math. Soc.},
	Number = {1},
	Pages = {9--21},
	Title = {Multiplicities of higher {L}ie characters},
	Volume = {75},
	Year = {2003}}

@article{MR3836732,
	Author = {Ahlbach, C. and Swanson, J. P.},
	Date-Modified = {2019-05-14 14:20:05 +0300},
	Doi = {10.1016/j.ejc.2018.05.003},
	Fjournal = {European Journal of Combinatorics},
	Journal = {European J. Combin.},
	Pages = {37--60},
	Title = {Refined cyclic sieving on words for the major index statistic},
	Volume = {73},
	Year = {2018}}