Killing forms of isotropic Lie algebras
Copyright policy )Killing forms of isotropic Lie algebras
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.
- Virginia Wesleyan College United States
20G15, Algebra and Number Theory, 20G15; 20G41; 17B20, Mathematics - Rings and Algebras, 17B20, Rings and Algebras (math.RA), FOS: Mathematics, 20G41, Representation Theory (math.RT), Simple, semisimple, reductive (super)algebras, Mathematics - Representation Theory
20G15, Algebra and Number Theory, 20G15; 20G41; 17B20, Mathematics - Rings and Algebras, 17B20, Rings and Algebras (math.RA), FOS: Mathematics, 20G41, Representation Theory (math.RT), Simple, semisimple, reductive (super)algebras, Mathematics - Representation Theory
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