Sets of reflections defining twisted Bruhat orders
Tom Edgar
University of Notre Dame Department of Mathematics Notre Dame IN 46556 USA
DOI: 10.1007/s10801-007-0060-9
Abstract
Twisted Bruhat orders are certain partial orders on a Coxeter system ( W, S) associated to initial sections of reflection orders, which are certain subsets of the set of reflections T of a Coxeter system. We determine which subsets of T give rise to a partial order on W in the same way.
Pages: 357–362
Full Text: PDF
References
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231. Springer, New York (2005) MR2133266
2. Dyer, M.: Reflection subgroups of Coxeter systems. J. Algebra 135(1), 57-73 (1990) MR1076077 (91j:20100)
3. Dyer, M.J.: Hecke Algebras and Shellings of Bruhat Intervals. II. Twisted Bruhat Orders, Kazhdan- Lusztig Theory and Related Topics, Chicago,
1989. Contemp. Math., vol. 139, pp. 141-165. Am. Math.