SEMINAR: Groups and Combinatorics Seminar: Triality via Geometric Algebra
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Groups and Combinatorics Seminar: Triality via Geometric Algebra |
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Time and place: 15:00 Friday 18 September in Blakers LT.
Speaker: Mark Ioppolo (University of Western Australia)
Title: Triality via Geometric Algebra
Abstract: The automorphisms of the orthogonal group SO(+1,2n,q) generally correspond to semi-similarities of the underlying vector space. However, in eight dimensions the group SO(+1,8,q) has unexpected "triality" automorphisms. My main goal is to offer an informal explanation of the analogous result for SO(8) within the framework of "Clifford algebras". The theory of Clifford algebras is extremely beautiful in its own right, so I may also allow myself to be sidetracked by spinor representations of SO(n), Octonions and other topics.
Contact |
Gabriel Verret
<[email protected]>
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Start |
Fri, 18 Sep 2015 15:00
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End |
Fri, 18 Sep 2015 16:00
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Submitted by |
Gabriel Verret <[email protected]>
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Last Updated |
Mon, 21 Sep 2015 15:35
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