1976Journal of Mathematical PhysicsRequires access

Classification of all simple graded Lie algebras whose Lie algebra is reductive. I

M. Scheunert, Werner Nahm, V. Rittenberg

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Abstract

All simple graded Lie algebras whose Lie algebra is reductive are presented, and the classification theorem is proved. Several theorems which may show up to be useful in a different context are also included.

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All simple graded Lie algebras whose Lie algebra is reductive are presented, and the classification theorem is proved. Several theorems which may show up to be useful in a different context are also included.

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OpenAlex reports 116 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

All simple graded Lie algebras whose Lie algebra is reductive are presented, and the classification theorem is proved. Several theorems which may show up to be useful in a different context are also included.

Key concepts: Mathematics, Graded Lie algebra, Lie conformal algebra, Adjoint representation of a Lie algebra, Algebra over a field, Affine Lie algebra, Simple Lie group, Killing form

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