Geometric properties of special orthogonal representations associated to exceptional Lie superalgebras

DOI10.1142/s0129055x23500265arXiv2003.06208OpenAlexW3011882085MaRDI QIDQ6067765

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Publication date: 14 December 2023

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

Full work available at URL: https://arxiv.org/abs/2003.06208

zbMATH Keywords

octonionscovariantspinor representationexceptional Lie superalgebra

Mathematics Subject Classification ID

Exceptional (super)algebras (17B25) Spin and Spin({}^c) geometry (53C27) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Composition algebras (17A75)

Cites Work

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• Classification of real simple Lie superalgebras and symmetric superspaces
• Special symplectic connections
• Quaternions, octonions and the forms of the exceptional simple classical Lie superalgebras
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• The Kostant invariant and special \(\varepsilon\)-orthogonal representations for \(\varepsilon\)-quadratic colour Lie algebras
• The geometry of special symplectic representations
• The Special Symplectic Structure of Binary Cubics
• Octonionic description of exceptional Lie superalgebras
• Classification of real simple Lie superalgebras of classical type
• CONSTRUCTION OF LIE SUPERALGEBRAS $D(2,1;\alpha)$,\$G(3)$ AND $F(4)$ FROM SOME TRIPLE SYSTEMS

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