W-graphs for Hecke algebras with unequal parameters

W-graphs for Hecke algebras with unequal parameters

In (Howlett and Nguyen in J Algebra 361:188–212, 2012 ), the concept of W -graph ideal in a Coxeter group was introduced, and it was showed that a W -graph can be constructed from a given W -graph ideal (this is the case of equal parameters). In this paper, we generalize the definition of W -graph i...

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Veröffentlicht in:Manuscripta mathematica 2015-05, Vol.147 (1-2), p.43-62
1. Verfasser: Yin, Yunchuan
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Zusammenfassung:In (Howlett and Nguyen in J Algebra 361:188–212, 2012 ), the concept of W -graph ideal in a Coxeter group was introduced, and it was showed that a W -graph can be constructed from a given W -graph ideal (this is the case of equal parameters). In this paper, we generalize the definition of W -graph ideal in the weighted Coxeter groups, and describe how to construct a W -graph from a given W -graph ideal in the case of unequal parameters.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-014-0719-1