A realization of the Lie algebra associated to a Kantor triple system

DOI10.1063/1.2168690zbMath1111.17011arXivmath/0504544OpenAlexW3099465627WikidataQ115333616 ScholiaQ115333616MaRDI QIDQ3441623

Jakob Palmkvist

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504544

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Ternary compositions (17A40)

Related Items

Freudenthal gauge theory, Hidden symmetries of deformed oscillators, Nonlinear realizations of Lie superalgebras, Unifying \( \mathcal{N} = 5 \) and \( \mathcal{N} = 6 \), Classification of simple linearly compact Kantor triple systems over the complex numbers, Generalized conformal realizations of Kac–Moody algebras

Cites Work

• On compact generalized Jordan triple systems of the second kind
• Elementary groups and invertibility for kantor pairs
• The octonions
• Imbedding of Jordan Algebras into Lie Algebras. I
• Lie and Jordan Triple Systems
• On a vector field formula for the Lie algebra of a homogeneous space
• Facts and fictions about anti de Sitter spacetimes with local quantum matter