70 citations · 395 across the 55 of their papers we have counts for
4 papers · 1 filter
Well, Papa, can you multiply triplets?
Sophie Morier-Genoud, Valentin Ovsienko
We show that the classical algebra of quaternions is a commutative -graded algebra. A similar interpretation of the algebra of octonions is impossible.
The Pentagram map: a discrete integrable system
Valentin Ovsienko, Richard Schwartz, Serge Tabachnikov
The pentagram map is a projectively natural iteration defined on polygons, and also on objects we call twisted polygons (a twisted polygon is a map from Z into the projective plane…
Lie antialgebras: cohomology and representations
Valentin Ovsienko
We describe the main algebraic and geometric properties of the class of algebras introduced in [arXiv:0705.1629]. We discuss their origins in symplectic geometry and associative al…
Bi-Hamiltonian nature of the equation
Valentin Ovsienko
We study non-linear integrable partial differential equations naturally arising as bi-Hamiltonian Euler equations related to the looped cotangent Virasoro algebra. This infinite-di…