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math.AC2009
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…
math.DS2009
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…