Möbius inversion for the Bruhat ordering on a Weyl group
نویسندگان
چکیده
منابع مشابه
Extending the Bruhat order and the length function from the Weyl group to the Weyl monoid
For a symmetrizable Kac-Moody algebra the category of admissible representations is an analogue of the category of finite dimensional representations of a semisimple Lie algebra. The monoid associated to this category and the category of restricted duals by a generalized Tannaka-Krein reconstruction contains the Kac-Moody group as open dense unit group and has similar properties as a reductive ...
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We introduce and study a family of operators which act in the group algebra of a Weyl group W and provide a multiparameter solution to the quantum Yang-Baxter equations of the corresponding type. These operators are then used to derive new combinatorial properties of W and to obtain new proofs of known results concerning the Bruhat order of W. The paper is organized as follows. Section 2 is dev...
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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 1971
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.1215