Discrete series of Lie superalgebras (Q788814)

From MaRDI portal





scientific article; zbMATH DE number 3843964
Language Label Description Also known as
English
Discrete series of Lie superalgebras
scientific article; zbMATH DE number 3843964

    Statements

    Discrete series of Lie superalgebras (English)
    0 references
    0 references
    1980
    0 references
    The author has previously used step algebras to study the discrete series of any complex Lie algebra containing a reductive subalgebra of the same rank [Math. Scand. 41, 63-78 (1977; Zbl 0373.17006)]. This work is generalized to Lie superalgebras and exemplified by the superalgebra \({\mathfrak sl}(n,1)\), having even part \({\mathfrak gl}(n)\).
    0 references
    equivalence class of irreducible finite modules
    0 references
    discrete series
    0 references
    reductive subalgebra
    0 references
    Lie superalgebras
    0 references

    Identifiers