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Fully commutative Kazhdan-Lusztig cells

2001/02/01 by R. M. Green, R.M. Green, Jozsef Losonczy +3
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #math.QA #msc:20C08

paper · pdf · doi:10.48550/arxiv.math/0102003

AMSTeX, approximately 20 pages

arxiv created 2001/02/01 · arxiv updated 2009/11/30

Abstract

We investigate the compatibility of the set of fully commutative elements of a Coxeter group with the various types of Kazhdan-Lusztig cells using a canonical basis for a generalized version of the Temperley-Lieb algebra.

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