Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden metrics

Hristo Manev

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arXiv · 1903.08971

Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden metrics

Hristo Manev

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Abstract

There are studied Lie groups considered as almost hypercomplex Hermitian-Norden manifolds, which are integrable and have the lowest dimension four. It is established a correspondence of the derived Lie algebras of types of invariant hypercomplex structures and the explicit matrix representation of their Lie groups. There are constructed examples of the considered structure of different types on some known Lie groups.

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BibTeX RIS

Hristo Manev. 2019-03-21. Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden metrics. https://arxiv.org/abs/1903.08971

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