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On Lie Algebras with Exponential Growth of the Codimensions

Bogdanchuk, O. A.; Mishchenko, S. P.; Verëvkin, A. B. — 2014

Serdica Mathematical Journal

We study the asymptotic behaviour of the codimension sequence of varieties of Lie algebras variety over a field of characteristic zero. We construct an infinite series of such varieties with different fractional exponents. This extends the special cases known before. 2010 Mathematics Subject Classification: 17B01, 16R10, 16P90.

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