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- W1988108013 abstract "Abstract We obtain a family of non-unital eight-dimensional division algebras over a field F out of a separable quadratic field extension S of F, a three-dimensional anisotropic hermitian form over S of determinant one, and three invertible elements c , d , e ∈ S . These algebras contain a four-dimensional subalgebra which can be viewed as a generalization of a (nonassociative) quaternion algebra. The four-dimensional algebras are studied independently. Over R , this construction can be used to generate division algebras with derivation algebra isomorphic to su ( 3 ) , which are the direct sum of two one-dimensional modules and a six-dimensional irreducible su ( 3 ) -module. Albert isotopes with derivation algebra isomorphic to su ( 3 ) are considered briefly as well." @default.
- W1988108013 created "2016-06-24" @default.
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- W1988108013 date "2014-02-01" @default.
- W1988108013 modified "2023-09-28" @default.
- W1988108013 title "Real non-unital division algebras withsu(3)as derivation algebra" @default.
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- W1988108013 doi "https://doi.org/10.1016/j.jalgebra.2013.09.038" @default.
- W1988108013 hasPublicationYear "2014" @default.
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