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On Lie algebras with nonintegral |
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| Authors: | V. M. Petrogradsky |
| Affiliation: | Department of Mathematics, Branch of Moscow State University in Ulyanovsk, 432700 Lev Tolstoy 42, Ulyanovsk, Russia |
| Abstract: | In a recent paper an author has suggested a series of dimensions which include as first terms dimension of a vector space, Gelfand-Kirillov dimenision and superdimension. In terms of these dimensions the growth of free polynilpotent finitely generated Lie algebras has been specified. All these dimensions are integers. In this paper we study for all levels  what numbers  can be a  -dimension of some Lie (associative) algebra. |
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