The Enumeration of Coxeter Elements

Journal of Algebraic Combinatorics

Volumn 6, Issue 2, 1997, Pages 161-171

  Shi, Jian Yi ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

A Coxeter system; Acyclic orientation of a graph; Coxeter element

Indexed keywords

EID: 0000133875     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008695121783     Document Type: Article

References (8)

1. S. Berman, Y.S. Lee, and R.V. Moody, "The spectrum of a Coxeter transformation, affine Coxeter transformations, and the defect map," J. Algebra 121 (1989), 339-357.
2. N. Bourbaki, Groupes et algèbres de Lie, Hermann, Paris, 1968, Ch. 4-6; Masson, Paris, 1981.
3. A.J. Coleman, "Killing and the Coxeter transformation of Kac-Moody algebras," Invent. Math. 95 (1989), 447-477.
4. R.B. Howlett, "Coxeter groups and M-matrices," Bull. London Math. Soc. 14 (1982), 137-141.
5. J. Humphreys, Reflection Groups and Coxeter Groups, Cambridge University Press, 1992.
6. Götz Pfeiffer, "Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula," to appear in J. Algebra.
7. 2, Dynkin diagrams and affine Coxeter elements," Pacific J. Math. 118(2) (1985), 587-597.
8. K. Thulasiraman and M.N.S. Swamy, Graphs: Theory and Algorithms, John Wiley & Sons, Inc., 1992.