8 citations · 8 across the 13 of their papers we have counts for
16 papers
Filling surfaces with very few systoles
Olivier Mathieu
In the paper we describe hyperbolic surfaces filled by their systoles, where the total number of systoles is in , that is equivalent to the lower bound of And…
Weakly Noetherian Lie Algebra and the Sierra-Walton Conjecture
Olivier Mathieu
Let K be a field of characteristic zero. Motivated by the conjecture that an enveloping algebra U(g) is Noetherian only if g is finite dimensional, we define the notion of weakly N…
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…
Noetherian enveloping algebras of simple graded Lie algebras
Nicolás Andruskiewitsch, Olivier Mathieu
It is shown that if the universal enveloping algebra of a simple -graded Lie algebra is Noetherian, then the Lie algebra is finite-dimensional.
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…