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@article{Filmus2016a,
 author = {Filmus, Y.},
 title = {Orthogonal basis for functions over a slice of the
 {B}oolean hypercube},
 fjournal = {Electronic Journal of Combinatorics},
journal={Electron. J. Combin.},
 volume = {23},
 number = {1},
 year = {2016},
 pages = {P1.23}
}
@book{M95,
  title={Symmetric {F}unctions and Hall {P}olynomials},
  author={Macdonald, I. G.},
  series={Oxford mathematical monographs},
  year={1995},
  publisher={Clarendon Press}
}

@article{Han88,
title = {{J}ack symmetric functions and some combinatorial properties of {Y}oung symmetrizers},
fjournal = {Journal of Combinatorial Theory, Series A},
journal={J. Combin. Theory Ser. A},
volume = {47},
number = {1},
pages = {37-70},
year = {1988},
author = {Hanlon, P.}
}
@article{Gottlieb,
	author = {Gottlieb, D. H.},
	fjournal = {Proceedings of the American Mathematical Society},
    journal = {Proc. Amer. Math. Soc.},
	number = {6},
	pages = {1233--1237},
	publisher = {American Mathematical Society},
	title = {A certain class of incidence matrices},
	volume = {17},
	year = {1966}
}
@inproceedings{Dafni,
	author    = {Dafni, N. and
	Filmus, Y. and
	Lifshitz, N. and
	Lindzey, N. and
	Vinyals, M.},
	editor    = {James R. Lee},
	title     = {Complexity Measures on the Symmetric Group and Beyond (Extended Abstract)},
	booktitle = {12th Innovations in Theoretical Computer Science Conference, {ITCS}
	2021, January 6--8, 2021, Virtual Conference},
	series    = {LIPIcs},
	volume    = {185},
	pages     = {87:1--87:5},
	publisher = {Schloss Dagstuhl - Leibniz-Zentrum f{\"{u}}r Informatik},
	year      = {2021}
}
@book{CST,
	title={Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains},
	author={Ceccherini-Silberstein, T. and Scarabotti, F. and Tolli, F.},
	series={Cambridge Studies in Advanced Mathematics},
	year={2008},
	publisher={Cambridge University Press}
}

@book{O,
	title={Analysis of Boolean Functions},
	author={O'Donnell, R.},
	year={2014},
	publisher={Cambridge University Press}
}
@book{GodsilMeagher,
  title={{E}rd{\"o}s--Ko--Rado Theorems: Algebraic Approaches},
  author={Godsil, C. and Meagher, K.},
  series={Cambridge Studies in Advanced Mathematics},
  year={2015},
  publisher={Cambridge University Press}
}
@article{S89,
title = {Some combinatorial properties of {J}ack symmetric functions},
fjournal = {Advances in Mathematics},journal={Adv. Math.},
volume = {77},
number = {1},
pages = {76-115},
year = {1989},
author = {Stanley, R. P.}
}
@article{Wilson,
	title = "A diagonal form for the incidence matrices of t-subsets vs. k-subsets",
	fjournal = "European Journal of Combinatorics",
    journal = {European J. Combin.},
	volume = "11",
	number = "6",
	pages = "609 - 615",
	year = "1990",
	author = "Wilson, R. M."
}