Irreducible representations of infinite-dimensional Lie algebras

DOI10.1016/0022-1236(83)90070-8zbMath0528.17005OpenAlexW2103856444MaRDI QIDQ786900

Mihai Şabac

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90070-8

zbMATH Keywords

irreducible representationsquasinilpotenttopologically irreducibleinfinite- dimensional Lie algebrasLM-decomposableoperationally irreducibleoperatorially topologically irreduciblequasisolvable

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Infinite-dimensional Lie (super)algebras (17B65) General theory of topological algebras (46H05)

Related Items

Invariant subspaces of operator Lie algebras and Lie algebras with compact adjoint action ⋮ An asymptotic formula for the commutators

Cites Work

• Banach uniformly continuous representations of Lie groups and algebras
• Invariant subspaces for the family of operators which commute with a completely continuous operator
• On Lie's Theorem in Operator Algebras
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