Killing Forms of Isotropic Lie Algebras

Details Killing Forms of Isotropic Lie Algebras Killing Forms of Isotropic Lie Algebras

2010-02-18

arxiv.org/abs/1002.3525v1

Mathematics

Representation Theory

Scientific paper

This paper presents a method for computing the Killing form of an isotropic Lie algebra defined over an arbitrary field based on the Killing form of a subalgebra containing its anisotropic kernel. This approach allows for streamlined formulas for many Lie algebras of types E6 and E7 and yields a unified formula for all Lie algebras of inner type E6, including the anisotropic ones.

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