activity
20132026
most citedFinite presentability of universal central extensions of , II

1 citations · 1 across the 6 of their papers we have counts for

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6 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.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.RA2020★ 1 cited

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…

math.RA2020

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…

math.GR2017

Property (T) for Kac-Moody groups over rings

Mikhail Ershov, Ashley Rall, Zezhou Zhang

Let R be a finitely generated commutative ring with 1, let A be an indecomposable 2-spherical generalized Cartan matrix of size at least 2 and M=M(A) the largest absolute value of…

math.GR2013

Nonassociative algebras and groups with property ()

Zezhou Zhang

We extend the results of \cite{EJK} on property (T) to certain groups "coordinatized" by nonassociative algebras.