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math.MG2026
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…
math.RA2026
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…
math.RT2026
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…