5 papers
A new proof of the Artin-Springer theorem in Schur index 2
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
We provide a new proof of the analogue of the Artin-Springer theorem for groups of type that can be represented by similitudes over an algebra of Schur index : an a…
A-upper motives of reductive groups
Charles De Clercq, Nikita Karpenko, Anne Quéguiner-Mathieu
Given a prime number , we perform the study of Chow motives and motivic decompositions, with coefficients in , of projective homogeneous varieties for $p…
Triality over fields with
Fatma Kader Bingöl, Anne Quéguiner-Mathieu
We characterize isotropic trialitarian triples in terms of the Schur indices of the underlying algebras over a base field of arbitrary characteristic satisfying . We…
Witt groups of Severi-Brauer varieties and of function fields of conics
Anne Quéguiner-Mathieu, Jean-Pierre Tignol
The Witt group of skew hermitian forms over a division algebra with symplectic involution is shown to be canonically isomorphic to the Witt group of symmetric bilinear forms ov…
Higher Tate traces of Chow motives
Charles De Clercq, Anne Quéguiner-Mathieu
We establish the complete classification of Chow motives of projective homogeneous varieties for -inner semi-simple algebraic groups, with coefficients in $\mathbb{Z}/p\mathbb{Z…