Irreducible Representations of Finite Classical Groups.
G. Lusztig (1977)
Inventiones mathematicae
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G. Lusztig (1977)
Inventiones mathematicae
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N. I. Stoilova, J. Van der Jeugt (2011)
Banach Center Publications
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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...
David A., Jr. Vogan (1983)
Inventiones mathematicae
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Ronald C. King (1990)
Banach Center Publications
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Shoji, Toshiaki (2000)
Beiträge zur Algebra und Geometrie
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Tadeusz Józefiak (2009)
Colloquium Mathematicae
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We present a description of irreducible tensor representations of general linear Lie superalgebras in terms of generalized determinants in the symmetric and exterior superalgebras of a superspace over a field of characteristic zero.
N.R. Wallach, Rocha-Caridi, A. (1983)
Inventiones mathematicae
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A.-M. Aubert (1991)
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Henryk Hecht (1979)
Mathematische Annalen
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Gerald W. Schwarz (1978/79)
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Peter Littelmann (1994)
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Bertram Kostant (1978)
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Helmut Koch (1980/81)
Inventiones mathematicae
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