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Fully commutative Kazhdan-Lusztig cells

Richard M. Green; Jozsef Losonczy — 2001

Annales de l’institut Fourier

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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