2 citations · 4 across the 7 of their papers we have counts for
7 papers
Quadratic and pinczon algebras
Didier Arnal, Wissem Bakbrahem, Mohamed Selmi
Given a symmetric non degenerated bilinear form b on a vector space V, G. Pinczon and R. Ushirobira defined a bracket {,} on the space of multilinear skewsymmetric forms on V. With…
Diamond cone for
Boujemaa Agrebaoui, Didier Arnal, Olfa Khlifi
In this paper, we first study the shape algebra and the reduced shape algebra for the Lie superalgebra . We define the quasistandard tableaux, their collection…
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…
Diamond module for the Lie algebra
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 of a semi simple Lie algebra. After N. J. Wildberger…
The spaces for some weight modules
Didier Arnal, Mabrouk Ben Ammar, Bechir Dali
We entirely compute the cohomology for a natural and large class of modules . We study the restriction to the cohomology of and appl…
Diamond representations of
Didier Arnal, Nadia Bel Baraka, Norman J. Wildberger
In \cite{W}, there is a graphic description of any irreducible, finite dimensional module. This construction, called diamond representation is very simple and ca…