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JCT
2006

Left cells containing a fully commutative element

13 years 10 months ago
Left cells containing a fully commutative element
Let W be a finite or an affine Coxeter group and Wc the set of all the fully commutative elements in W. For any left cell L of W containing some fully commutative element, our main result of the paper is to prove that there exists a unique element (say wL) in L Wc such that any z L has the form z = xwL with (z) = (x) + (wL) for some x W. This implies that L is left connected, verifying a conjecture of Lusztig in our case.
Jian-Yi Shi
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JCT
Authors Jian-Yi Shi
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