3 papers
math.RT2025
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…
math.RA2011
Derivations of the Cheng-Kac Jordan superalgebras
Elisabete Barreiro, Alberto Elduque, Consuelo Martinez
The derivations of the Cheng-Kac Jordan superalgebras are studied. It is shown that, assuming -1 is a square in the ground field, the Lie superalgebra of derivations of a Cheng-Kac…
math.RT2003
A(n,n)-graded Lie superalgebras
G. Benkart, A. Elduque, C. Martinez
We determine the Lie superalgebras over fields of characteristic zero that are graded by the root system A(n,n) of the special linear Lie superalgebra psl(n+1,n+1).