Left cells containing a fully commutative element
نویسنده
چکیده
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.
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. A
دوره 113 شماره
صفحات -
تاریخ انتشار 2006