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This article is cited in 2 scientific papers (total in 2 papers)
A Spin Analogue of Kerov Polynomials
Sho Matsumoto Graduate School of Science and Engineering, Kagoshima University, Kagoshima 890-0065, Japan
Abstract:
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.
Received: March 13, 2018; in final form May 29, 2018; Published online June 2, 2018
Citation:
Sho Matsumoto, “A Spin Analogue of Kerov Polynomials”, SIGMA, 14 (2018), 053, 13 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1352 https://www.mathnet.ru/eng/sigma/v14/p53
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Abstract page: | 104 | Full-text PDF : | 19 | References: | 12 |
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