78 citations · 78 across the 6 of their papers we have counts for
9 papers
Sums of two symbols in in characteristic two
Demba Barry, Adam Chapman, Ahmed Laghribi
In this paper, study sums of two symbols in when . We first prove a chain lemma that connects to $B=\{α,β\}_2…
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…
Degree relative invariant for unitary involutions
Demba Barry, Alexandre Masquelein, Anne Quéguiner-Mathieu
Using the Rost invariant for non split simply connected groups, we define a relative degree cohomological invariant for pairs of orthogonal or unitary involutions having isomor…
The descent of biquaternion algebras in characteristic two
Demba Barry, Adam Chapman, Ahmed Laghribi
In this paper we associate an invariant to a biquaternion algebra over a field with a subfield such that is a quadratic separable extension and $\operatorname{cha…
Outer automorphisms of adjoint groups of type D and non-rational adjoint groups of outer type A
Demba Barry, Jean-Pierre Tignol
For a classical group of type over a field of characteristic different from , we show the existence of a finitely generated regular extension of su…
Involutions on tensor products of quaternion algebras
Demba Barry
We study possible decompositions of totally decomposable algebras with involution, that is, tensor products of quaternion algebras with involution. In particular, we are interested…
A Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos
Alberto Salvio
We study a simple Standard Model (SM) extension, which includes three families of right-handed neutrinos with generic non-trivial flavor structure and an economic implementation of…
Power-Central Elements in Tensor Products of Symbol Algebras
Demba Barry
Let A be a central simple algebra over a field F. Let k_1,\ldots, k_r be cyclic extensions of F such that k_1\otimes_F\cdots \otimes_F k_r is a field. We investigate conditions und…
Decomposable and Indecomposable Algebras of Degree 8 and Exponent 2
Demba Barry
We study the decomposition of central simple algebras of exponent 2 into tensor products of quaternion algebras. We consider in particular decompositions in which one of the quater…