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Publications (10)

math.KT2026

Sums of two symbols in $K_{2} (F) /2 K_{2} (F)$ in characteristic two

Demba Barry, Adam Chapman, Ahmed Laghribi

In this paper, study sums $A = {a, b}_{2} + {c, d}_{2}$ of two symbols in $K_{2} (F) /2 K_{2} (F)$ when $char (F) = 2$ . We first prove a chain lemma that connects $A$ to $B=\{Î±,Î²\}…

math.RA2015

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…

math.RA2013

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…

math.RA2022

Autour de la dÃ©composition des algÃ¨bres d'exposant 2 sur les extensions multiquadratiques

Demba Barry, Ahmed Laghribi

For central simple algebras of exponent $2$ over fields of characteristic $2$ and $2$ -cohomological dimension equal to $2$ , we study the adapted decomposition to some multiquadrati…

math.RA2015

Square-Central and Artin-Schreier Elements in Division Algebras

Demba Barry, Adam Chapman

We study the behavior of square-central elements and Artin-Schreier elements in division algebras of exponent 2 and degree a power of 2. We provide chain lemmas for such elements i…

math.GR2023

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…