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arXiv · 2409.03726

Cyclic homology of Jordan superalgebras and related Lie superalgebras

Consuelo Martínez·Efim Zelmanov·Zezhou Zhang
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Abstract

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 superalgebras that are Kantor doubles of bracket algebras. The obtained results are applied to computation of second cohomologies and universal central extensions of Hamiltonian and contact type Lie superalgebras over arbitrary rings of coefficients.

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Consuelo Martínez, Efim Zelmanov, Zezhou Zhang. 2024-09-05. Cyclic homology of Jordan superalgebras and related Lie superalgebras. https://arxiv.org/abs/2409.03726

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