On non self-adjoint representations of Lie algebras

DOI10.1007/BF01691920zbMath0518.47025MaRDI QIDQ1053961

Hillel Gauchman

Publication date: 1983

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

irreducible representationsnon self- adjoint representations of a Lie algebranon self-adjoint representations of Lie algebra in Hilbert spaceregular Lie colligationtwo dimensional non-abelian Lie algebra

Mathematics Subject Classification ID

General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Lie algebras and Lie superalgebras (17B99) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (max. 100)

Representations of Lie algebras by non-skewselfadjoint operators in Hilbert space ⋮ Linear dynamical systems with partial derivatives

Cites Work

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• Regular colligations for several commuting operators in Banach space
• Connection colligations on Hilbert bundles
• Connection colligations of the second order
• A method for constructing triangular canonical models of commuting operators based on connections with algebraic curves
• Operator waves in Hilbert space and related partial differential equations

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