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arxiv: 1408.2315 · v1 · pith:B7ZJ7WVKnew · submitted 2014-08-11 · 🧮 math.RA · math.AG

On the dimensions of commutative subalgebras and subgroups of nilpotent algebras and Lie groups of class 2

classification 🧮 math.RA math.AG
keywords classdimensionsnilpotentalgebrascommutativegroupssubalgebrasalgebraically
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We obtain the functions that bound the dimensions of finite dimensional nilpotent associative or Lie algebras of class 2 over an algebraically closed field in terms of the dimensions of their commutative subalgebras. As a result, we also compute a similar function for complex nilpotent Lie groups of class 2.

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