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Graded-commutative nonassociative algebras:

higher octonions and Krichever-Novikov superalgebras;

their structures, combinatorics and non-trivial cocycles.

Thesis submitted in partial fulfi lment of the requirements for the degree of Doctor of Philosophy (PhD) in Sciences

April 2015

Under the supervision of :

Pierre LECOMTE, University of Liege Valentin OVSIENKO, University of Reims Marie KREUSCH

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Contributions to graded-associative noncommutative algebrasMarie KREUSCH 2015

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