4 papers
math.RA2026
Superconformal algebras over arbitrary rings of coefficients
Consuelo Martínez, Efim Zelmanov, Zezhou Zhang
We define analogs of superconformal algebras over an arbitrary commutative associative superalgebra. In the finitely generated case the universal central extensions of these algebr…
math.RA2026
Waring problems across algebra
Matej Brešar, Consuelo Mart\' inez
The paper surveys various Waring type problems in groups, Lie algebras, and associative algebras.
math.RA2024
Cyclic homology of Jordan superalgebras and related Lie superalgebras
Consuelo Martínez, Efim Zelmanov, Zezhou Zhang
We study the relationship between cyclic homology of Jordan superalgebras and second cohomologies of their Tits-Kantor-Koecher Lie superalgebras. In particular, we focus on Jordan…
math.RT2012
Irreducible representations of the exceptional cheng-kac superalgebra
Consuelo Martínez, Efim Zelmanov
We classify all conformal irreducible modules of finite type over the Cheng Kac superalgebra CK(6).