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

Maria V. Milentyeva

doi:10.1080/00927870601141936

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arXiv · 1408.2315

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

Maria V. Milentyeva

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Abstract

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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Maria V. Milentyeva. 2014-08-11. On the dimensions of commutative subalgebras and subgroups of nilpotent algebras and Lie groups of class 2. https://doi.org/10.1080/00927870601141936

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