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Abelian ideals with given dimension in Borel subalgebras

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 نشر من قبل Li Luo
 تاريخ النشر 2008
  مجال البحث
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 تأليف Li Luo




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A well-known Petersons theorem says that the number of abelian ideals in a Borel subalgebra of a rank-$r$ finite dimensional simple Lie algebra is exactly $2^r$. In this paper, we determine the dimensional distribution of abelian ideals in a Borel subalgebra of finite dimensional simple Lie algebras, which is a refinement of the Petersons theorem capturing more Lie algebra invariants.



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