70 citations · 395 across the 55 of their papers we have counts for
4 papers · 1 filter
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…
2-frieze patterns and the cluster structure of the space of polygons
Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov
We study the space of 2-frieze patterns generalizing that of the classical Coxeter-Conway frieze patterns. The geometric realization of this space is the space of n-gons (in the pr…
New solutions to the Hurwitz problem on square identities
Anna Lenzhen, Sophie Morier-Genoud, Valentin Ovsienko
The Hurwitz problem of composition of quadratic forms, or of "sum of squares identity" is tackled with the help of a particular class of -graded non-associative a…
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…