70 citations · 395 across the 55 of their papers we have counts for
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Real Clifford algebras and quadratic forms over : two old problems become one
Valentin Ovsienko
We show equivalence of two old classification theorems: Dickson's classification of quadratic forms over , and Chevalley's classification of real Clifford algebras.
Introducing supersymmetric frieze patterns and linear difference operators
Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov
We introduce a supersymmetric analog of the classical Coxeter frieze patterns. Our approach is based on the relation with linear difference operators. We define supersymmetric anal…
Alternated Hochschild Cohomology
Pierre B. A. Lecomte, Valentin Ovsienko
In this paper we construct a graded Lie algebra on the space of cochains on a $\mathbbZ_2$-graded vector space that are skew-symmetric in the odd variables. The Lie bracket is obta…
A series of algebras generalizing the octonions and Hurwitz-Radon identity
Sophie Morier-Genoud, Valentin Ovsienko
We study non-associative twisted group algebras over with cubic twisting functions. We construct a series of algebras that extend the classical algebra of octonions in t…