Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

Some Combinatorial Aspects of Reduced Words in Finite Coxeter Groups

Author(s): John R. Stembridge
Journal: Trans. Amer. Math. Soc. 349 (1997), 1285-1332.
MSC (1991): Primary 05E05, 05E10, 06A07, 20F55
MathSciNet review: 1389789
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Abstract: We analyze the structure of reduced expressions in the Coxeter groups $A_n$ , $B_n$ and $D_n$ . Several special classes of elements are singled out for their connections with symmetric functions or the theory of $P$ -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.

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