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Non-Existence of Coassociative Quantized Universal Enveloping Algebras of the Traceless Octonions
Authors:S. Madariaga
Affiliation:Department of Mathematics , Western Kentucky University , Bowling Green, Kentucky, USA
Abstract:The purpose of this brief note is to prove that any coassociative bialgebra deformation of the universal enveloping algebra of the seven dimensional central simple exceptional Malcev algebra over a field of characteristic zero is cocommutative.
Keywords:Mal'cev algebra  Octonions  Quantized enveloping algebra
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