Lie Algebras with Finite Gelfand-kirillov Dimension
نویسندگان
چکیده
We prove that every finitely generated Lie algebra containing a nilpotent ideal of class c and finite codimension n has Gelfand-Kirillov dimension at most cn. In particular, finitely generated virtually nilpotent Lie algebras have polynomial growth.
منابع مشابه
Leavitt Path Algebras of Finite Gelfand–kirillov Dimension
Groebner–Shirshov Basis and Gelfand–Kirillov dimension of the Leavitt path algebra are derived.
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