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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…
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…
Finite presentability of universal central extensions of , II
Zezhou Zhang
In this note we connect finite presentability of a Jordan algebra to finite presentability of its Tits-Kantor-Koecher algebra. Through this we complete our discussion of finite pre…
Finite presentability of universal central extensions of
Efim Zelmanov, Zezhou Zhang
In this paper we discuss finite presentability of the universal central extensions of Lie algebras , where and is a unital associative -algeb…