Non-Existence of Coassociative Quantized Universal Enveloping Algebras of the Traceless Octonions |
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Authors: | S. Madariaga |
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Affiliation: | Department of Mathematics , Western Kentucky University , Bowling Green, Kentucky, USA |
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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. |
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Keywords: | Mal'cev algebra Octonions Quantized enveloping algebra |
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