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Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R)

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 Added by Arielle Leitner
 Publication date 2014
  fields
and research's language is English




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We give a quadratic lower bound on the dimension of the space of conjugacy classes of subgroups of SL(n,R) that are limits under conjugacy of the diagonal subgroup. We give the first explicit examples of abelian n-1 dimensional subgroups of SL(n,R) which are not such a limit, however all such abelian groups are limits of the diagonal group iff n < 5.



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