Modular elements in the lattice L(A) when A is a real reflection arrangement

Discrete Mathematics

Volumn 193, Issue 1-3, 1998, Pages 61-68

  Barcelo, H ^a   Ihrig, E ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042638007     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(98)00134-4     Document Type: Article

References (7)

1. G. Birkhoff, Lattice Theory, AMS, Colloquium Publications, Providence, RI, vol. 25, 1984.
2. H. Barcelo, E. Ihrig, Lattices of parabolic subgroups in connection with hyperplane arrangements, preprint, 1994.
3. J.E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge Studies in Advanced Mathematics, 29, Cambridge University Press, Cambridge, 1990.
4. P. Orlik, H. Terao, Arrangements of Hyperplanes, A Series of Comprehensive Studies in Math, Springer, New York, 300, 1992.
5. R.P. Stanley, Modular elements of geometric lattices, Algebra Universalis 1 (1971) 214-217.
6. R.P. Stanley, Supersolvable Lattices, Algebra Universalis 2 (1972) 197-217.
7. R. Stanley, Enumerative Combinatorics, vol. 1, First edition, Wadsworth & Brooks/Cole, Monterey, California, 1986.