1999Journal of Mathematical PhysicsRequires access

Lie subalgebras of real and complex orthogonal groups in dimension four

Federico G. Lastaria

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Abstract

We give an explicit description of all Lie subalgebras of the Lie algebras so4R and so4C of the orthogonal groups O(4,R) and O(4,C).

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What this paper is about

We give an explicit description of all Lie subalgebras of the Lie algebras so4R and so4C of the orthogonal groups O(4,R) and O(4,C).

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Available abstract

We give an explicit description of all Lie subalgebras of the Lie algebras so4R and so4C of the orthogonal groups O(4,R) and O(4,C).

Key concepts: Lie group, Mathematics, Real form, Simple Lie group, Pure mathematics, Representation of a Lie group, Killing form, Lie theory

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