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A Spin Analogue of Kerov Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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Kerov polynomials describe normalized irreducible characters of the symmetric groups in terms of the free cumulants associated with Young diagrams. We suggest well-suited counterparts of the Kerov polynomials in spin (or projective) representation settings. We show that spin analogues of irreducible characters are polynomials in even free cumulants associated with double diagrams of strict partitions. Moreover, we present a conjecture for the positivity of their coefficients.
Keywords: Kerov polynomials; spin symmetric groups; free cumulants; characters. 
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     author = {Sho Matsumoto},
     title = {A {Spin} {Analogue} of {Kerov} {Polynomials}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a52/}
}
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Sho Matsumoto. A Spin Analogue of Kerov Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a52/

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