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Algebra i Analiz, 1998, Volume 10, Issue 3, Pages 183–192 (Mi aa1014)  

This article is cited in 2 scientific papers (total in 2 papers)

Research Papers

Inverting the Frobenius map

S. Fominab, J.-Y. Thibonc

a St. Petersburg Institute of Informatics Russian Academy of Sciences
b Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA
c Institut Gaspard-Monge Institute, Université de Marne-la-Vallée, France
Full-text PDF (390 kB) Citations (2)
Abstract: The famous Frobenius characteristic map is a bijection from the space of characters of the symmetric group $S_n$ to the space of homogeneous symmetric functions of degree $n$. In this note, a formula for the inverse map is proved. More precisely, the generating function for the values of an arbitrary virtual character $\chi$ of $S_n$ is expressed in terms of the symmetric function which is the Frobenius image of $\chi$. We also give a $q$-analogue of this result by providing a similar formula for the Hecke algebra characters, and suggest some applications.
Received: 21.02.1997
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. Fomin, J.-Y. Thibon, “Inverting the Frobenius map”, Algebra i Analiz, 10:3 (1998), 183–192; St. Petersburg Math. J., 10:3 (1999), 545–552
Citation in format AMSBIB
\Bibitem{FomThi98}
\by S.~Fomin, J.-Y.~Thibon
\paper Inverting the Frobenius map
\jour Algebra i Analiz
\yr 1998
\vol 10
\issue 3
\pages 183--192
\mathnet{http://mi.mathnet.ru/aa1014}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1628046}
\zmath{https://zbmath.org/?q=an:0916.05071}
\transl
\jour St. Petersburg Math. J.
\yr 1999
\vol 10
\issue 3
\pages 545--552
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
     
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