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@preamble{"\def\cprime{$'$} "}



@misc{PakPanova:bounds,
	Author = {{Pak}, I. and {Panova}, G.},
	Date-Added = {2016-11-14 14:49:32 +0000},
	Date-Modified = {2017-05-15 05:09:25 +0000},
	Eprint = {1406.2988},
	Eprinttype = {arxiv},
	Title = {{Bounds on the Kronecker coefficients}},
	Year = 2014}

@misc{LongVersion,
	Author = {{Briand}, E. and {Rattan}, A. and {Rosas}, M.},
	Date-Added = {2016-11-09 14:43:33 +0000},
	Date-Modified = {2017-05-15 05:01:15 +0000},
	Eprint = {1607.02887},
	Eprinttype = {arxiv},
	Title = {{On the growth of the Kronecker coefficients}},
	Year = 2016}

@misc{BaldoniVergne,
	Author = {{Baldoni}, V. and {Vergne}, M.},
	Date-Added = {2016-06-03 09:09:31 +0000},
	Date-Modified = {2017-05-15 05:00:50 +0000},
	Eprint = {1506.02472},
	Eprinttype = {arxiv},
	Title = {{Multiplicity of compact group representations and applications to {K}ronecker coefficients}},
	Year = 2015}

@misc{Colmenarejo,
	Author = {{Colmenarejo}, L.},
	Date-Added = {2016-06-03 09:02:40 +0000},
	Date-Modified = {2017-05-15 05:02:22 +0000},
	Eprint = {1604.00803},
	Eprinttype = {arxiv},
	Title = {{Combinatorics on several families of Kronecker coefficients related to plane partitions}},
	Year = 2016}

@article{SamSnowden:Stembridge,
	Author = {Sam, S. V. and Snowden, A.},
	Date-Added = {2015-11-17 09:28:55 +0000},
	Date-Modified = {2017-05-15 05:10:31 +0000},
	Doi = {10.1007/s10801-015-0622-1},
	Journal = {J. Algebraic Combin.},
	Pages = {1--10},
	Title = {Proof of {S}tembridge's conjecture on stability of {K}ronecker coefficients},
	Volume = {43},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10801-015-0622-1}}

@article{Manivel:asymptotics1,
	Author = {Manivel, L.},
	Date-Added = {2015-11-17 09:21:46 +0000},
	Date-Modified = {2017-05-15 05:07:09 +0000},
	Doi = {10.1007/s10801-015-0614-1},
	Journal = {J. Algebraic Combin.},
	Pages = {999--1025},
	Title = {On the asymptotics of {K}ronecker coefficients},
	Volume = {42},
	Year = {2015},
	Bdsk-Url-1 = {http://0-dx.doi.org.fama.us.es/10.1007/s10801-015-0614-1},
	Bdsk-Url-2 = {http://dx.doi.org/10.1007/s10801-015-0614-1}}

@book{Macdonald,
	Author = {Macdonald, I. G.},
	Date-Added = {2014-11-20 23:27:25 +0000},
	Date-Modified = {2017-05-15 05:06:05 +0000},
	Edition = {2},
	Publisher = {The Clarendon Press, Oxford University Press},
	Series = {Oxford Mathematical Monographs},
	Title = {Symmetric Functions and {H}all Polynomials},
	Year = {1995}}

@article{Colmenarejo-Rosas,
	Author = {Colmenarejo, L. and Rosas, M.},
	Date-Modified = {2017-05-15 05:04:43 +0000},
	Doi = {10.1016/j.crma.2015.07.012},
	Journal = {C. R. Acad. Sci. Paris, Ser. I},
	Pages = {865--869},
	Title = {Combinatorics on a family of reduced {K}ronecker coefficients.},
	Volume = {353},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.crma.2015.07.012}}

@article{Murnaghan:1938,
	Annote = {Murnaghan gives the $n$--independent expansion of the $58$ smallest Kronecker products of Schur functions $s_{(n-|\alpha|,\alpha)} \ast s_{(n-|\beta|,\beta)}$ (for all $\alpha$ and $\beta$ such that $|\alpha|+|\beta| \leq 6$ and for $|\alpha|=3$, $|\beta|=4$). The fact that the coefficients are independent on $n$ is "the central result of the paper". He also states that all Schur functions appearing in these exapnsions are $s_{(n-|\gamma|,\gamma)}$ such that $|\gamma| \leq |\alpha|+|\beta|$. No proof is provided.},
	Author = {Murnaghan, F. D.},
	Date-Modified = {2017-05-15 05:08:53 +0000},
	Doi = {10.2307/2371610},
	Journal = {Amer. J. Math.},
	Pages = {761--784},
	Title = {The {A}nalysis of the {K}ronecker {P}roduct of {I}rreducible {R}epresentations of the {S}ymmetric {G}roup},
	Volume = {60},
	Year = {1938},
	Bdsk-Url-1 = {http://dx.doi.org/10.2307/2371610}}

@article{Littlewood:1958,
	Annote = {This is the paper where Murnaghan's stability of Kronecker products of Schur functions is proved, by means of classical invariant theory. Additionally, Littlewood's formula for the stable product, considered again later by Thibon, is provided. The paper constains more results, on inner plethysms, and plethysms with orthogonal and symplectic group characters.},
	Author = {Littlewood, D. E.},
	Date-Modified = {2017-05-15 05:05:31 +0000},
	Journal = {Canad. J. Math.},
	Pages = {17--32},
	Title = {Products and plethysms of characters with orthogonal, symplectic and symmetric groups},
	Volume = {10},
	Year = {1958}}

@techreport{GCT6,
	Author = {Mulmuley, K. D.},
	Date-Added = {2014-11-20 23:27:25 +0000},
	Date-Modified = {2017-05-15 05:08:01 +0000},
	Eprint = {0704.0229},
	Eprinttype = {arxiv},
	Institution = {Computer Science Department, The University of Chicago},
	Title = {Geometric complexity theory {VI}: the flip via saturated and positive integer programming in representation theory and algebraic geometry},
	Year = {2007}}

@article{Thibon,
	Author = {Thibon, J.-Y.},
	Date-Added = {2014-11-20 23:27:25 +0000},
	Date-Modified = {2017-05-15 05:24:02 +0000},
	Doi = {10.1142/S0218196791000134},
	Journal = {Internat. J. Algebra Comput.},
	Pages = {207--221},
	Title = {Hopf algebras of symmetric functions and tensor products of symmetric group representations},
	Volume = {1},
	Year = {1991},
	Bdsk-Url-1 = {http://dx.doi.org/10.1142/S0218196791000134}}

@article{ThibonCarre,
	Author = {Carr{\'e}, C. and Thibon, J.-Y.},
	Date-Added = {2014-11-20 23:27:25 +0000},
	Date-Modified = {2017-05-15 05:23:42 +0000},
	Doi = {10.1016/0196-8858(92)90018-R},
	Journal = {Adv. Appl. Math.},
	Pages = {390--403},
	Title = {Plethysm and vertex operators},
	Volume = {13},
	Year = {1992},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/0196-8858(92)90018-R}}

@article{Vallejo,
	Author = {Vallejo, E.},
	Date-Modified = {2017-05-15 05:12:50 +0000},
	Journal = {Electron. J. Combin.},
	Number = {Art. {\#R}39},
	Title = {Stability of {K}ronecker products of irreducible characters of the symmetric group},
	Url = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v6i1r39},
	Volume = {6},
	Year = {1999},
	Bdsk-Url-1 = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v6i1r39}}

@misc{Vallejo:tomography,
	Archiveprefix = {arxiv},
	Author = {{Vallejo}, E.},
	Date-Added = {2014-11-21 09:34:47 +0000},
	Date-Modified = {2017-05-15 05:11:56 +0000},
	Eprint = {1408.6219},
	Title = {{Stability of Kronecker coefficients via discrete tomography}},
	Year = 2014}

@article{Manivel,
	Author = {Manivel, L.},
	Date-Modified = {2017-05-15 05:06:56 +0000},
	Doi = {10.5802/aif.1579},
	Journal = {Ann. Inst. Fourier},
	Pages = {715--773},
	Title = {Applications de {G}auss et pl{\'e}thysme},
	Volume = {47},
	Year = {1997},
	Bdsk-Url-1 = {http://dx.doi.org/10.5802/aif.1579}}

@article{Brion,
	Author = {Brion, M.},
	Date-Added = {2014-11-20 23:27:25 +0000},
	Date-Modified = {2017-05-15 05:01:32 +0000},
	Doi = {10.1007/BF03026558},
	Journal = {Manuscripta Math.},
	Pages = {347--371},
	Title = {Stable properties of plethysm: on two conjectures of {F}oulkes},
	Volume = {80},
	Year = {1993},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF03026558}}

@article{Jing:Spin,
	Author = {Jing, N.},
	Date-Modified = {2017-05-15 05:05:13 +0000},
	Doi = {10.1016/0021-8693(91)90177-A},
	Journal = {J. Algebra},
	Pages = {340--398},
	Title = {Vertex operators, symmetric functions, and the spin group {$\Gamma_n$}},
	Volume = {138},
	Year = {1991},
	Bdsk-Url-1 = {http://0-dx.doi.org.fama.us.es/10.1016/0021-8693(91)90177-A},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/0021-8693(91)90177-A}}

@misc{Stembridge,
	Author = {Stembridge, J.},
	Date-Added = {2014-11-21 10:12:48 +0000},
	Date-Modified = {2017-05-15 05:11:01 +0000},
	Title = {Generalized Stability of {K}ronecker Coefficients},
	Url = {http://www.math.lsa.umich.edu/~jrs/papers.html},
	Year = {2014},
	Bdsk-Url-1 = {http://www.math.lsa.umich.edu/~jrs/papers.html}}

@unpublished{Sam:talk,
	Author = {Sam, S. V.},
	Date-Modified = {2017-05-15 05:10:02 +0000},
	Note = {Talk at the Conference "{K}ronecker Coefficients 2016" ({C}ity {U}niversity, {L}ondon, UK)},
	Title = {Algebraic aspects of stability of {K}ronecker coefficients},
	Year = {2016}}