Parabolic subgroup orbits on finite root systems
نویسندگان
چکیده
منابع مشابه
Weyl Group Orbits on Kac-moody Root Systems
Let D be a Dynkin diagram, let Π = {α1, . . . , αl} be the simple roots of the corresponding Kac-Moody root system and let W denote the Weyl group. We show that for i 6= j, the simple roots αi and αj are in the same W -orbit if and only if vertices i and j in the Dynkin diagram corresponding to αi and αj are connected by a path consisting only of single edges. It follows that the disjoint orbit...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2018
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2018.02.010