Rosane Ushirobira : activités de recherche

Domaines d'intérêt :

Algèbres et super-algèbres de Lie et leurs représentations

Publications :

M. T. Duong and R. Ushirobira. Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras. arXiv:1012.5556, 2010.

M. T. Duong, G. Pinczon and R. Ushirobira. A new invariant of quadratic Lie algebras. arXiv:1005.3970, 2010, à paraître dans Algebras and Representation Theory.

I. M. Musson, G. Pinczon and R. Ushirobira. Hochschild cohomology and deformations of Clifford-Weyl algebras. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5, 2009. Paper 028, 27 pages.

G. Pinczon and R. Ushirobira. New applications of graded Lie algebras to Lie algebras, generalized Lie algebras and cohomology. Journal of Lie theory, 17(3):633-668, 2007.

P-A. Gié, G. Pinczon and R. Ushirobira. The Amitsur-Levitzki theorem for the orthosymplectic Lie superalgebra osp(1,2n). Journal of algebra and its applications, 5(3):307-332, June 2006.

G. Pinczon and R. Ushirobira. Supertrace and superquadratic Lie structure on the Weyl algebra and applications to formal inverse Weyl transform. Letters in Mathematical Physics, 74(3):263-291, December 2005.

P-A. Gié, G. Pinczon and R. Ushirobira. Back to the Amitsur-Levitzki theorem: a super version for the orthosymplectic Lie superalgebra osp(1,2n). Letters in Mathematical Physics, 66(1-2):141-155, October 2003.

A. M. Cohen, A. Steinbach, R. Ushirobira and D. Wales. Lie algebras generated by extremal elements. Journal of Algebra, 236:122-154, February 2001.

T. Levasseur and R. Ushirobira. Adjoint vector fields on the tangent space of semisimple symmetric spaces. Journal of Lie theory, 9(2):293-304, 1999.

R. Ushirobira. On the orbit method for the Lie algebra of vector fields on a curve. Journal of Algebra, 203:596-620, May 1998.