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Decorated Tangles and Canonical Bases

✍ Scribed by R.M. Green

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
269 KB
Volume
246
Category
Article
ISSN
0021-8693

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✦ Synopsis

We study the combinatorics of fully commutative elements in Coxeter groups of type H n for any n > 2. Using the results, we construct certain canonical bases for non-simply-laced generalized Temperley-Lieb algebras and show how to relate them to morphisms in the category of decorated tangles.  2001 Elsevier Science 1 The author was supported in part by an award from the Nuffield Foundation. 594

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0.2. Notation. Our notation will follow that of [L] where references to original sources of the results we use can be found. See also [K]. Let v be an indeterminate. Instead of article no.