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doi: 10.1007/bf01691920
We consider a method for constructing all non self-adjoint representations of a Lie algebra with the help of its irreducible representations. The method is based on imbedding of a representation in a more complicated object called a colligation. As an application we consider the case of two dimensional non-abelian Lie algebra.
non self- adjoint representations of a Lie algebra, Groups and semigroups of linear operators, their generalizations and applications, Lie algebras and Lie superalgebras, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), regular Lie colligation, irreducible representations, Representations of Lie algebras and Lie superalgebras, analytic theory, non self-adjoint representations of Lie algebra in Hilbert space, two dimensional non-abelian Lie algebra
non self- adjoint representations of a Lie algebra, Groups and semigroups of linear operators, their generalizations and applications, Lie algebras and Lie superalgebras, General (adjoints, conjugates, products, inverses, domains, ranges, etc.), regular Lie colligation, irreducible representations, Representations of Lie algebras and Lie superalgebras, analytic theory, non self-adjoint representations of Lie algebra in Hilbert space, two dimensional non-abelian Lie algebra
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influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
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