On generic triality
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
M.-A. Knus <knus@math.ethz.ch>
R. Parimala <parimala@math.tifr.res.in>
R. Sridharan <sridhar@math.tifr.res.in>