Induction, deformation, and specialization of Lie algebra representations.
E.M. Friedlander, B.J. Parshall (1991)
Mathematische Annalen
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Displaying similar documents to “On Characters and Asymptotics of Representations of a Real Reductive Lie Group.”
Induction, deformation, and specialization of Lie algebra representations.
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An explicit construction of all finite-dimensional irreducible representations of classical Lie algebras is a solved problem and a Gelfand-Zetlin type basis is known. However the latter lacks the orthogonality property or does not consist of weight vectors for 𝔰𝔬(n) and 𝔰𝔭(2n). In case of Lie superalgebras all finite-dimensional irreducible representations are constructed explicitly only for 𝔤𝔩(1|n), 𝔤𝔩(2|2), 𝔬𝔰𝔭(3|2) and for the so called essentially typical representations...
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