• Super Jordan triple systems and Kantor triple systems
• Ricciardo, Antonio <1991>

#### Subject

• MAT/02 Algebra

#### Description

• We introduce the notion of $\epsilon$-super Jordan triple systems(sJTS), a supersymmetric generalization of Jordan triple systems which includes them as well as the class of N=6 3-algebras as particular cases. The Tits-Kantor-Koecher construction for Kantor triple systems(KTS) and for $\epsilon$-super Jordan triple systems is established and thanks to it the problem of classifying simple linearly-compact KTS and sJTS is reduced to the classification of particular classes of automorphisms of 5-graded Lie algebras and 3-graded Lie superalgebras. We obtain the classification of simple linearly-compact KTS and the classification of finite-dimensional simple sJTS.

• 2019-04-10

#### Type

• Doctoral Thesis
• PeerReviewed

#### Format

• application/pdf

#### Identifier

urn:nbn:it:unibo-25231

Ricciardo, Antonio (2019) Super Jordan triple systems and Kantor triple systems, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Matematica , 31 Ciclo. DOI 10.6092/unibo/amsdottorato/8792.