Elements with finite Coxeter part in an affine Weyl group
نویسندگان
چکیده
منابع مشابه
Partial orderings of an affine Weyl group
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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Coloured generalised Young diagrams T (w) are introduced that are in bijective correspondence with the elements w of the Weyl-Coxeter group W of g, where g is any one of the classical affine Lie algebras g = A (1) ` , B (1) ` , C (1) ` , D (1) ` , A (2) 2` , A (2) 2`−1 or D (2) `+1. These diagrams are coloured by means of periodic coloured grids, one for each g, which enable T (w) to be constru...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2012
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.09.017