V. Ovsienko

activity

19962009

most citedThe Pentagram map: a discrete integrable system

2 citations · 3 across the 8 of their papers we have counts for

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math.AC2009

Simple graded commutative algebras

Sophie Morier-Genoud, Valentin Ovsienko

We study the notion of $Γ$ -graded commutative algebra for an arbitrary abelian group $Γ$ . The main examples are the Clifford algebras already treated by Albuquerque and Majid. We p…

math.AC2008

Well, Papa, can you multiply triplets?

Sophie Morier-Genoud, Valentin Ovsienko

We show that the classical algebra of quaternions is a commutative $Z_{2} \times Z_{2} \times Z_{2}$ -graded algebra. A similar interpretation of the algebra of octonions is impossible.