Weyl group orbits on Kac–Moody 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 Physics A: Mathematical and Theoretical
سال: 2014
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/47/44/445201