Cyclic homology of Jordan superalgebras and related Lie superalgebras

Autor:	Martínez, Consuelo, Zelmanov, Efim, Zhang, Zezhou
Rok vydání:	2024
Předmět:	Mathematics - Rings and Algebras Mathematics - Representation Theory 17B60 17B66
Druh dokumentu:	Working Paper
Popis:	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. Comment: 30 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.03726 Zobrazit plný text záznamu View this record from Arxiv