Lie superalgebras based on \(\mathfrak{gl}_n\) associated to the adjoint representation, and invariant geometric structures defined on them
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Publication:1411069
DOI10.1007/s00220-003-0930-5zbMath1098.17005OpenAlexW1975856540MaRDI QIDQ1411069
Oscar Adolfo Sánchez Valenzuela, Gil Salgado
Publication date: 15 October 2003
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-003-0930-5
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for Lie algebras and superalgebras (17B05)
Related Items (8)
Odd-quadratic Lie superalgebras with a weak filiform module as an odd part ⋮ Invariant bilinear forms on Leibniz superalgebras ⋮ Lie superalgebras based on Heisenberg Lie algebras ⋮ On natural superhomogeneous models for Minkowski superspacetime ⋮ Characterization of contact Lie superalgebras ⋮ Odd-quadratic Lie superalgebras ⋮ Lie supergroups supported over \(\text{GL}_2\) and \(\text{U}_2\) associated to the adjoint representation ⋮ Algebraic structures in \(\mathbb F^N\) associated to linear transformations
Cites Work
- Unnamed Item
- Unnamed Item
- Supersymmetry and Morse theory
- A sketch of Lie superalgebra theory
- The theory of Lie superalgebras. An introduction
- Classification of \(N\)-(super)-extended Poincaré algebras and bilinear invariants of the spinor representation of \(Spin(p,q)\)
- Existence and uniqueness of solutions to superdifferential equations
- Quadratic Lie superalgebras with the completely reducible action of the even part of the odd part
- Hermitian Lie Algebras and Metaplectic Representations. I
- The Weyl algebra and the structure of all Lie superalgebras of Riemannian type
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