Showing 2001 · math.QAShow all
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math.QA2001
Decorated tangles and canonical bases
R. M. Green
We study the combinatorics of fully commutative elements in Coxeter groups of type for any . Using the results, we construct certain canonical bases (i.e., IC bases) f…
math.QA2001
Tabular algebras and their asymptotic versions
R. M. Green
We introduce tabular algebras, which are simultaneous generalizations of cellular algebras (in the sense of Graham-Lehrer) and table algebras (in the sense of Arad-Blau). We show t…
math.QA2001
Fully commutative Kazhdan-Lusztig cells
R. M. Green, J. Losonczy
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 generaliz…