12 citations · 39 across the 6 of their papers we have counts for
7 papers
A new invariant of quadratic Lie algebras
Duong Minh Thanh, Georges Pinczon, Rosane Ushirobira
We define a new invariant of quadratic Lie algebras and give a complete study and classification of singular quadratic Lie algebras, i.e. those for which the invariant does not van…
Hochschild Cohomology and Deformations of Clifford-Weyl Algebras
Ian M. Musson, Georges Pinczon, Rosane Ushirobira
We give a complete study of the Clifford-Weyl algebra from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that $…
On Two Theorems About Symplectic Reflection Algebras
Georges Pinczon
We give a new proof and an improvement of two Theorems of J. Alev, M.A. Farinati, T. Lambre and A.L. Solotar : the first one about Hochschild cohomology spaces of some twisted bimo…
New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology
Georges Pinczon, Rosane Ushirobira
We give new applications of graded Lie algebras to: identities of standard polynomials, deformation theory of quadratic Lie algebras, cyclic cohomology of quadratic Lie algebras, $…
Supertrace and superquadratic Lie structure on the Weyl algebra, with applications to formal inverse Weyl transform
Georges Pinczon, Rosane Ushirobira
Using the Moyal *-product and orthosymplectic supersymmetry, we construct a natural non trivial supertrace and an associated non degenerate invariant supersymmetric bilinear form f…
Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1, 2n)
Pierre-Alexandre Gie, Georges Pinczon, Rosane Ushirobira
We prove an Amitsur-Levitzki type theorem for the Lie superalgebras osp(1,2n) inspired by Kostant's cohomological interpretation of the classical theorem. We show that the Lie supe…