Finite maximal tori

We define a “finite maximal torus” of a compact Lie group G to be a maximal finite abelian subgroup A of G. We introduce structure for finite maximal tori parallel to the classical structure for maximal tori, like roots and the Weyl group; and we recall a large number of (previously known) examples....

תיאור מלא

מידע ביבליוגרפי
Main Authors: Han, Gang, Vogan, David A
מחברים אחרים: Massachusetts Institute of Technology. Department of Mathematics
פורמט: Article
יצא לאור: Springer 2018
גישה מקוונת:http://hdl.handle.net/1721.1/116150
https://orcid.org/0000-0002-9816-2395
תיאור
סיכום:We define a “finite maximal torus” of a compact Lie group G to be a maximal finite abelian subgroup A of G. We introduce structure for finite maximal tori parallel to the classical structure for maximal tori, like roots and the Weyl group; and we recall a large number of (previously known) examples. Keywords: Compact group; Maximal finite abelian subgroup