55 citations · 106 across the 15 of their papers we have counts for
10 papers · 1 filter
Classification of simple linearly compact Kantor triple systems over the complex numbers
Nicoletta Cantarini, Antonio Ricciardo, Andrea Santi
Simple finite dimensional Kantor triple systems over the complex numbers are classified in terms of Satake diagrams. We prove that every simple and linearly compact Kantor triple s…
Classification of linearly compact simple Nambu-Poisson algebras
Nicoletta Cantarini, Victor G. Kac
We introduce the notion of universal odd generalized Poisson superalgebra associated to an associative algebra A, by generalizing a construction made in [5]. By making use of this…
Algebraic vs physical N=6 3-algebras
Nicoletta Cantarini, Victor G. Kac
In our previous paper we classified linearly compact algebraic simple N=6 3-algebras. In the present paper we classify their "physical" counterparts, which actually appear in the N…
Classification of linearly compact simple N=6 3-algebras
Nicoletta Cantarini, Victor G. Kac
3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algeb…
Classification of linearly compact simple rigid superalgebras
Nicoletta Cantarini, Victor G. Kac
The notion of an anti-commutative (resp. commutative) rigid superalgebra is a natural generalisation of the notion of a Lie (resp. Jordan) superalgebra. Intuitively rigidity means…
Classification of simple linearly compact n-Lie superalgebras
Nicoletta Cantarini, Victor G. Kac
We classify simple linearly compact n-Lie superalgebras with n>2 over a field F of characteristic 0. The classification is based on a bijective correspondence between non-abelian n…