Stanley's character polynomials and coloured factorisations in the symmetric group
Rattan, Amarpreet (2008) Stanley's character polynomials and coloured factorisations in the symmetric group. Journal of Combinatorial Theory, Series A 115 (4), pp. 535-546. ISSN 00973165.
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Abstract
In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of the polynomials are positive. In [R.P. Stanley, A conjectured combinatorial interpretation of the normalised irreducible character values of the symmetric group, math.CO/0606467, 2006] the same author gives a conjectured combinatorial interpretation for the coefficients of the polynomials. Here, we prove the conjecture for the terms of highest degree.
Metadata
| Item Type: | Article |
|---|---|
| Keyword(s) / Subject(s): | Combinatorics, representation theory, symmetric group |
| School: | Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School |
| Depositing User: | Administrator |
| Date Deposited: | 01 Dec 2010 11:36 |
| Last Modified: | 02 Aug 2023 16:53 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/2887 |
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