9 citations · 38 across the 21 of their papers we have counts for
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Trialitarian Triples
Demba Barry, Jean-Pierre Tignol
Trialitarian triples are triples of central simple algebras of degree 8 with orthogonal involution that provide a convenient structure for the representation of trialitarian algebr…
Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
An orthogonal involution on a central simple algebra , after scalar extension to the function field of the Severi--Brauer variety of , is adjoint to a qu…
Outer automorphisms of classical algebraic groups
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
The so-called Tits class, associated to an adjoint absolutely almost simple algebraic group, provides a cohomological obstruction for this group to admit an outer automorphism. If…
Triality and Algebraic Groups of Type
Max-Albert Knus, Jean-Pierre Tignol
We determine which simple algebraic groups of type over arbitrary fields of characteristic different from 2 admit outer automorphisms of order 3, and classify these automor…
Conjugacy classes of trialitarian automorphisms and symmetric compositions
Vladimir Chernousov, Max-Albert Knus, Jean-Pierre Tignol
The trialitarian automorphisms considered in this paper are the outer automorphisms of order 3 of adjoint classical groups of type D_4 over arbitrary fields. A one-to-one correspon…