Lie algebras of unbounded derivations

DOI10.1016/0022-1236(83)90075-7zbMath0515.46059OpenAlexW2087128470MaRDI QIDQ1051863

Palle E. T. Jorgensen, Frederick M. Goodman

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)90075-7

zbMATH Keywords

strong continuityrepresentations of Lie algebrasintegrable Lie algebra* derivationautomorphic actionexponentiable Lie algebraLie algebra of skew-symmetric operators in a Hilbert spaceone-parameter group of * automorphismsrepresentation by *-automorphisms

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Algebras of unbounded operators; partial algebras of operators (47L60) Noncommutative dynamical systems (46L55) Commutators, derivations, elementary operators, etc. (47B47) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Unitary representations of locally compact groups (22D10)

Related Items (20)

Reflection positivity for the complementary series of SL(2n, \({\mathbb{C}})\) ⋮ Analytic continuation of local representations of symmetric spaces ⋮ A dichotomy for derivations on \({\mathcal O}_ n\) ⋮ Smooth derivations commuting with Lie group actions ⋮ Analytic vectors and integrability of Lie algebra representations ⋮ The heat semigroup and integrability of Lie algebras ⋮ Projective analytic vectors and infinitesimal generators ⋮ On analytic vectors for unitary representations of infinite dimensional Lie groups ⋮ Noncommutative differential geometry, quantization, and smooth symmetries of the \(C^*\)-algebras associated to topological dynamics ⋮ Anticommuting selfadjoint operators ⋮ Lipschitz operators ⋮ Extensions and index of Hermitian representations ⋮ Non-commutative moment problems ⋮ Entire Propagator ⋮ Commutative algebras of unbounded operators ⋮ Comparison of Commuting One-Parameter Groups of Isometries ⋮ Unitary representations of Lie groups with reflection symmetry ⋮ Representations of differential operators on a Lie group, and conditions for a Lie algebra of operators to generate a representation of the group ⋮ A generation theorem for operators commuting with group actions ⋮ Unbounded derivations tangential to compact groups of automorphisms. II

Cites Work

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