On representations of the filiform Lie superalgebra \(L_{m,n}\)

DOI10.1016/j.geomphys.2015.07.012zbMath1325.17008OpenAlexW775624396MaRDI QIDQ490966

Wende Liu, Hongjia Chen, Qi Wang

Publication date: 21 August 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2015.07.012

zbMATH Keywords

Jordan formfiliform Lie superalgebraminimal faithful representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25) Solvable, nilpotent (super)algebras (17B30)

Related Items (2)

Cohomology of model filiform Lie superalgebras ⋮ On the minimal dimension of faithful representations for current Heisenberg Lie superalgebras

Cites Work

• Minimal faithful representations of abelian Jordan algebras and Lie superalgebras
• Faithful Lie algebra modules and quotients of the universal enveloping algebra
• \(B(0,N)\)-graded Lie superalgebras coordinatized by quantum tori
• \(BC_{N}\)-graded Lie algebras arising from fermionic representations
• Some deformations of nilpotent Lie superalgebras
• Infinitesimal deformations of the Lie superalgebra \(L^{n,m}\)
• Deforming discontinuous subgroups for threadlike homogeneous spaces
• Deformations of filiform Lie algebras and superalgebras
• A complete description of all the infinitesimal deformations of the Lie superalgebra \(L^{n,m}\)
• Classical affine algebras
• Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
• Variety of laws on nilpotent Lie algebras.
• On fundamental groups of complete affinely flat manifolds
• On a refinement of Ado's theorem
• A non-affine nilvariety
• The minimal dimensions of faithful representations for Heisenberg Lie superalgebras
• On Deformations of the Filiform Lie SuperalgebraL_n,m
• Canonical realizations of Lie superalgebras: Ladder representations of the Lie superalgebra A(m,n)
• Fermionic and Bosonic Representations of the Extended Affine Lie Algebra
• REPRESENTING FILIFORM LIE ALGEBRAS MINIMALLY AND FAITHFULLY BY STRICTLY UPPER-TRIANGULAR MATRICES
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• Lie superalgebras
• Low-dimensional filiform Lie superalgebras
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