Left Cells in the Affine Weyl Group of TypeF̃4
نویسندگان
چکیده
منابع مشابه
LEFT CELLS IN THE AFFINE WEYL GROUP Wa(D̃4)
The cells of affine Weyl groups have been studied for more than one decade. They have been described explicitly in cases of type Ãn ( n ≥ 1 ) [13][9] and of rank ≤ 3 [1][4][10]. But there are only some partial results for an arbitrary irreducible affine Weyl group [2][7][8][16][17]. In [18], we constructed an algorithm to find a representative set of left cells of certain crystallographic group...
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We prove a property of left cells in certain crystallographic groups W , by which we formulate an algorithm to find a representative set of left cells of W in any given two-sided cell. As an illustration, we make some applications of this algorithm to the case where W is the affine Weyl group of type e F4. The cells of affine Weyl groups W , as defined by Kazhdan and Lusztig in [6], have been d...
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In this note we draw together some of the scattered literature dealing with several partial orderings of affine Weyl groups. Most of the theory was developed as a tool in the study of modular representations for groups of Lie type, but here we focus just on an affine Weyl group Wa in its elementary geometric setting while sometimes invoking also its structure as a Coxeter group. While notation ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1998
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7043