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Search: MSC category 05E15 ( Combinatorial aspects of groups and algebras [See also 14Nxx, 22E45, 33C80] )

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1. CMB 2010 (vol 53 pp. 757)

Woo, Alexander
 Interval Pattern Avoidance for Arbitrary Root Systems We extend the idea of interval pattern avoidance defined by Yong and the author for \$S_n\$ to arbitrary Weyl groups using the definition of pattern avoidance due to Billey and Braden, and Billey and Postnikov. We show that, as previously shown by Yong and the author for \$\operatorname{GL}_n\$, interval pattern avoidance is a universal tool for characterizing which Schubert varieties have certain local properties, and where these local properties hold. Categories:14M15, 05E15

2. CMB 2007 (vol 50 pp. 535)

Hohlweg, Christophe
 Generalized Descent Algebras If \$A\$ is a subset of the set of reflections of a finite Coxeter group \$W\$, we define a sub-\$\ZM\$-module \$\DC_A(W)\$ of the group algebra \$\ZM W\$. We discuss cases where this submodule is a subalgebra. This family of subalgebras includes strictly the Solomon descent algebra, the group algebra and, if \$W\$ is of type \$B\$, the Mantaci--Reutenauer algebra. Keywords:Coxeter group, Solomon descent algebra, descent setCategories:20F55, 05E15

3. CMB 2002 (vol 45 pp. 537)

Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei
 Polytopal Realizations of Generalized Associahedra No abstract. Categories:05E15, 20F55, 52C07