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Octonions and the reprezentation of Lie algebra g2
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| Organization: | Faculty of Mathematics, Belgrade |
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2004-05-20
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This notebook has a dual purpose. As first, it roughly implements the octonionic multiplication and calculates the commutator relations of the Lie algebra g2. As second, it is an advanced example of Mathematica's power in calculations that often happen in Geometry when the problem is reduced to Linear Algebra level (matrices). Besides, a homogenous representation of the sphere S6 using octonions is given.
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octonions, octaves, Cayley numbers, Lie algebra g2, six sphere, derivations
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http://math.ucr.edu/home/baez/octonions/octonions.html
http://mathworld.wolfram.com/Octonion.html
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| OctonionsAndG2.nb (46.4 KB) - Mathematica Notebook |
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