Institut de Mathématiques de Bourgogne

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20032015

most citedEfficient and fast estimation of the geometric median in Hilbert spaces with an averaged stochastic gradient algorithm

104 citations

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math.QA2012

Pinczon Algebras

Didier Arnal

After recalling the construction of a graded Lie bracket on the space of cyclic multilinear forms on a vector space V, due to Georges Pinczon and Rosane Ushirobira, we prove this c…

math.QA2012★ 2 cited

Diamond module for the Lie algebra $so (2 n + 1, C)$

Boujemaa Agrebaoui, Didier Arnal, Abdelkader Ben Hassine

The diamond cone is a combinatorial description for a basis of an indecomposable module for the nilpotent factor $n$ of a semi simple Lie algebra. After N. J. Wildberger…

math.QA2012

Algèbres pré-Gerstenhaber à homotopie près

Walid Aloulou, Didier Arnal, Ridha Chatbouri

This paper is concerned by the concept of algebra up to homotopy for a structure defined by two operations $.$ and [,]. An important example of such a structure is the Gerstenhaber…

Pinczon Algebras

Diamond module for the Lie algebra so(2n+1,C)

Algèbres pré-Gerstenhaber à homotopie près

Diamond module for the Lie algebra $so (2 n + 1, C)$