A construction of simple Lie subalgebras of certain types from triple systems

DOI10.1017/S0004972700034304zbMath1053.17004OpenAlexW2080786093MaRDI QIDQ4470197

Noriaki Kamiya, Susumu Okubo

Publication date: 22 June 2004

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700034304

Mathematics Subject Classification ID

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

Related Items (11)

A class of Hermitian generalized Jordan triple systems and Chern–Simons gauge theory ⋮ On certain algebraic structures associated with Lie (super)algebras ⋮ On constructions of Lie (super) algebras and (𝜀,δ)-Freudenthal–Kantor triple systems defined by bilinear forms ⋮ The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras ⋮ A new class of nonassociative algebras with involution ⋮ Composition operators on weighted spaces of holomorphic functions on \(JB^{*}\)-triples ⋮ A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS ⋮ A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS ⋮ Hermitian \((\varepsilon, \delta)\)-Freudenthal-Kantor triple systems and certain applications of \(*\)-generalized Jordan triple systems to field theory ⋮ A Review of Peirce Decomposition for Unitary $$(-1,-1)$$-Freudenthal Kantor Triple Systems ⋮ Hermitian generalized Jordan triple systems and certain applications to field theory

Cites Work

• The theory of Lie superalgebras. An introduction
• Simple anti-jordan pairs¹
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• SIMPLE $(-1,-1)$ BALANCED FREUDENTHAL KANTOR TRIPLE SYSTEMS
• On δ-Lie supertriple systems associated with (ε, δ)-Freudenthal-Kantor supertriple systems
• QUASI-CLASSICAL LIE SUPERALGEBRAS AND LIE SUPERTRIPLE SYSTEMS
• A Structure Theory of Lie Triple Systems

This page was built for publication: A construction of simple Lie subalgebras of certain types from triple systems