FAITHFUL REPRESENTATIONS OF MINIMAL DIMENSION OF CURRENT HEISENBERG LIE ALGEBRAS

DOI10.1142/S0129167X09005790zbMath1247.17008arXiv0803.1076MaRDI QIDQ3655719

Nadina Rojas, Leandro Cagliero

Publication date: 8 January 2010

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1076

zbMATH Keywords

faithful representationscurrent Lie algebrasAdo's theoremHeisenberg Lie algebrastruncated Lie algebras

Mathematics Subject Classification ID

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

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Cites Work

• On the property M conjecture for the Heisenberg Lie algebra
• The fundamental group of a compact flat Lorentz space form is virtually polycyclic
• Transitive and quasitransitive actions of affine groups preserving a generalized Lorentz-structure
• On fundamental groups of complete affinely flat manifolds
• Borel-Weil-Bott theory on the moduli stack of \(G\)-bundles over a curve
• On a refinement of Ado's theorem
• Modules for certain Lie algebras of maximal class
• The strong Macdonald conjecture and Hodge theory on the loop Grassmannian
• Minimal faithful representations of reductive Lie algebras
• Representability of Lie algebras and Lie groups by matrices
• Some Conjectures for Root Systems
• Simply Transitive Groups of Affine Motions
• A Simple Proof of a Theorem of Schur
• Rigid Current Lie Algebras
• AFFINE STRUCTURES ON NILMANIFOLDS
• Schur’s theorems on commutative matrices