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Submission: 2000, Nov 15
Generic matrices with involution are used to construct a trialitarian generic algebra. This algebra also occurs as invariants of the semidirect product of the group of permutations of three objects with the special projective orthogonal group in dimension 8.
1991 Mathematics Subject Classification: 11E57, 11E72, 15A66, 16R30
Keywords and Phrases: generic algebra, triality, involution, orthogonal group
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