Journal of Group Theory
Editor-in-Chief: Parker, Christopher W. / Wilson, John S.
Managing Editor: Howie, James / Khukhro, Evgenii I. / Kramer, Linus
IMPACT FACTOR increased in 2014: 0.443
5-year IMPACT FACTOR: 0.493
SCImago Journal Rank (SJR) 2014: 0.831
Source Normalized Impact per Paper (SNIP) 2014: 0.804
Impact per Publication (IPP) 2014: 0.411
Mathematical Citation Quotient (MCQ) 2014: 0.48
Volume 19 (2016)
Volume 18 (2015)
Volume 17 (2014)
Volume 16 (2013)
Volume 15 (2012)
Volume 14 (2011)
Volume 13 (2010)
Volume 12 (2009)
Volume 11 (2008)
Volume 10 (2007)
Volume 9 (2006)
Volume 8 (2005)
Volume 7 (2004)
Volume 6 (2003)
Volume 5 (2002)
Volume 4 (2001)
Volume 3 (2000)
Volume 2 (1999)
Most Downloaded Articles
- Analytic pro-p groups of small dimensions by González-Sánchez, Jon and Klopsch, Benjamin
- Simple groups are characterized by their non-commuting graphs by Solomon, Ronald M. and Woldar, Andrew J.
- A reduction theorem for the blockwise Alperin weight conjecture by Späth, Britta
- Groups whose Chermak–Delgado lattice is a chain by Brewster, Ben/ Hauck, Peter and Wilcox, Elizabeth
- Complete homology and related dimensions of groups by Jo, Jang Hyun
On Gelfand models for finite Coxeter groups
1Department of Mathematics, Indian Institute of Technology Bombay, Powai, Mumbai, 400 076, India. E-mail: (email)
2Institut de Mathématiques de Jussieu, 16 rue Clisson, 75013 Paris, France. E-mail: (email)
Citation Information: Journal of Group Theory. Volume 13, Issue 3, Pages 429–439, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgt.2009.060, November 2009
- Published Online:
A Gelfand model for a finite group G is a complex linear representation of G that contains each of its irreducible representations with multiplicity one. For a finite group G with a faithful representation V, one constructs a representation which we call the polynomial model for G associated to V. Araujo and others have proved that the polynomial models for certain irreducible Weyl groups associated to their canonical representations are Gelfand models.
In this paper, we give an easier and uniform treatment for the study of the polynomial model for a general finite Coxeter group associated to its canonical representation. Our final result is that such a polynomial model for a finite Coxeter group G is a Gelfand model if and only if G has no direct factor of the type W(D 2n), W(E 7) or W(E 8).
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.