Abelian Ideals with given Dimension in Borel Subalgebras
نویسنده
چکیده
A well-known Peterson’s theorem says that the number of abelian ideals in a Borel subalgebra of a rank-r finite dimensional simple Lie algebra is exactly 2r . 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 Peterson’s theorem capturing more Lie algebra invariants.
منابع مشابه
Powers of the Euler product and commutative subalgebras of a complex simple Lie algebra
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