54 citations · 273 across the 53 of their papers we have counts for
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Cartan matrices and presentations of the exceptional simple Elduque Lie superalgebra
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites
Recently Alberto Elduque listed all simple and graded modulo 2 finite dimensional Lie algebras and superalgebras whose odd component is the spinor representation of the orthogonal…
Cartan matrices and presentations of Cunha and Elduque superalgebras
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites
All inequivalent Cartan matrices (in other words, inequivalent systems of simple roots) of the ten simple exceptional finite dimensional Lie superalgebras in characteristic 3, rece…
Simple Lie superalgebras and nonintegrable distributions in characteristic p
Sofiane Bouarroudj, Dimitry Leites
Recently, Grozman and Leites returned to the original Cartan's description of Lie algebras to interpret the Melikyan algebras (for p<7) and several other little-known simple Lie al…
The space of m-ary differential operators as a module over the Lie algebra of vector fields
Sofiane Bouarroudj
The space of m-ary differential operators acting on weighted densities is a (m+1)-parameter family of modules over the Lie algebra of vector fields. For almost all the parameters,…
On sl(2)-equivariant quantizations
S. Bouarroudj, M. Iyadh Ayari
By computing certain cohomology of Vect(M) of smooth vector fields we prove that on 1-dimensional manifolds M there is no quantization map intertwining the action of non-projective…