Classification of real Lie superalgebras based on a simple Lie algebra, giving rise to interesting examples involving su(2, 2)

摘要

Finite dimensional semisimple real Lie superalgebras are described via finite dimensional semisimple complex Lie superalgebras. As an application of these results, finite dimensional real Lie superalgebras m = m_0 ? m_1 for which m0 is a simple Lie algebra are classified up to isomorphism.