On representations of Lie algebras of a generalized Tavis-Cummings model.
Hanna, L. A.-M. (2003)
Journal of Applied Mathematics
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Displaying similar documents to “The Hurwitz determinants and the signatures of irreducible representations of simple real Lie algebras”
On representations of Lie algebras of a generalized Tavis-Cummings model.
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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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