Structural properties of acyclic heaps of pieces with Kazhdan--Lusztig theory

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dc.creatorPohlmann, Brent G.
dc.date2008-10-05
dc.date.accessioned2026-07-07T10:07:45Z
dc.date.available2026-07-07T10:07:45Z
dc.descriptionWe introduce the notions of boundary vertex, linear equivalence and effective boundary vertex in the context of Viennot's heaps of pieces. We prove that in the heap of a fully commutative element in a star reducible Coxeter group, every boundary vertex is linearly equivalent to an effective boundary vertex. Using this result, we establish Property W (in the sense of math.QA/0509363) for star reducible Coxeter groups; this corrects a mistake in the latter paper.
dc.descriptionPh.D. thesis, University of Colorado, 2008. Advisor: R.M. Green. 21 figures
dc.identifierhttps://arxiv.org/abs/0810.0842
dc.identifierhttp://arxiv.org/abs/0810.0842
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170752
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject20F55, 20C08
dc.titleStructural properties of acyclic heaps of pieces with Kazhdan--Lusztig theory
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