On dominance and minuscule Weyl group elements

Autor:	Gashi, Qëndrim R., Schedler, Travis
Rok vydání:	2009
Předmět:	Mathematics - Representation Theory Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	Fix a Dynkin diagram and let p be a coweight. When does there exist an element w of the corresponding Weyl group such that w is p-minuscule and w(p) is dominant? We answer this question for general Coxeter groups. We express and prove these results using a variant of Mozes's game of numbers. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0908.1091 Zobrazit plný text záznamu View this record from Arxiv