Some Combinatorial Aspects of Reduced Words
in Finite Coxeter Groups
Author: John R. Stembridge
Journal: Trans. Amer. Math. Soc. 349 (1997), 1285-1332
MSC (1991): Primary 05E05, 05E10, 06A07, 20F55
MathSciNet review: 1389789
Abstract: We analyze the structure of reduced expressions in the Coxeter groups , and . Several special classes of elements are singled out for their connections with symmetric functions or the theory of -partitions. Membership in these special classes is characterized in a variety of ways, including forbidden patterns, forbidden subwords, and by the form of canonically chosen reduced words.
John R. Stembridge
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109–1109
Received by editor(s): January 1, 1996
Additional Notes: Partially supported by NSF Grants DMS–9057192 and DMS–9401575.
Article copyright: © Copyright 1997 American Mathematical Society