70 citations · 395 across the 55 of their papers we have counts for
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Graded commutative algebras: examples, classification, open problems
Sophie Morier-Genoud, Valentin Ovsienko
We consider $\G$-graded commutative algebras, where $\G$ is an abelian group. Starting from a remarkable example of the classical algebra of quaternions and, more generally, an arb…
Simple graded commutative algebras
Sophie Morier-Genoud, Valentin Ovsienko
We study the notion of -graded commutative algebra for an arbitrary abelian group . The main examples are the Clifford algebras already treated by Albuquerque and Majid. We p…
Quasiperiodic Motion for the Pentagram Map
Valentin Ovsienko, Richard Schwartz, Serge Tabachnikov
The pentagram map is a projectively natural iteration defined on polygons, and also on a generalized notion of a polygon which we call {\it twisted polygons}. In this note we descr…