8 citations · 8 across the 13 of their papers we have counts for
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Cuspidal modules over Superconformal algebras of rank \geq 1
Consuelo Martinez, Olivier Mathieu, Efim Zelmanov
According to V. Kac and J. van de Leur, the superconformal algebras are the simple -graded Lie superalgebras of growth one which contains the Witt algebra. We describe an expli…
Free Jordan Algebras and Representations of
Michael Lau, Olivier Mathieu
Let be a unital Jordan algebra, and let be the universal central extension of its Tits-Kantor-Koecher Lie algebra. In Part A, we study the catego…
Jordan algebras and weight modules
Michael Lau, Olivier Mathieu
We consider bounded weight modules for the universal central extension of the Tits-Kantor-Koecher algebra of a unital Jordan algebra . Universal objects c…
On the Free Jordan Algebras
Iryna Kashuba, Olivier Mathieu
A conjecture for the dimension and the character of the homogenous components of the free Jordan algebras is proposed. As a support of the conjecture, some numerical evidences are…
A Global version of Grozman's theorem
Kenji Iohara, Olivier Mathieu
Let X be a manifold. The classification of all equivariant bilinear maps between tensor density modules over X has been investigated by Yu Grozman, who has provided a full classifi…
Classification of Simple Lie Algebras on a Lattice
Kenji Iohara, Olivier Mathieu
Let be a lattice of rank . A Lie algebra on the lattice is a Lie algebra such that for all . In this articl…