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https://hdl.handle.net/10316/114982
Title: | The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four | Authors: | Abdelwahab, Hani Barreiro, Elisabete Calderón, Antonio J. Fernández Ouaridi, Amir |
Keywords: | Nilpotent Lie triple systems; Algebraic classification; Geometric classification; Annihilator extension; Non-associative triple systems | Issue Date: | 2022 | Publisher: | Springer Nature | Project: | UIDB/00324/2020 PCI of the UCA ‘Teoría de Lie y Teoría de Espacios de Banach’, by the PAI with project number FQM298 FEDER-UCA18-107643 Spanish Government through the Ministry of Universities grant ‘Margarita Salas’, funded by the European Union—NextGenerationEU |
Serial title, monograph or event: | Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas | Volume: | 117 | Issue: | 1 | Abstract: | In this paper we generalize the Skjelbred–Sund method, used to classify nilpotent Lie algebras, in order to classify triple systems with non-zero annihilator. We develop this method with the purpose of classifying nilpotent Lie triple systems, obtaining from it the algebraic classification of the nilpotent Lie triple systems up to dimension four. Additionally, we obtain the geometric classification of the variety of nilpotent Lie triple systems up to dimension four. | URI: | https://hdl.handle.net/10316/114982 | ISSN: | 1578-7303 1579-1505 |
DOI: | 10.1007/s13398-022-01344-z | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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