Induction, deformation, and specialization of Lie algebra representations.
E.M. Friedlander, B.J. Parshall (1991)
Mathematische Annalen
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E.M. Friedlander, B.J. Parshall (1991)
Mathematische Annalen
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Henryk Hecht (1976)
Mathematische Annalen
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Henryk Hecht, Wilfried Schmid (1976)
Mathematische Annalen
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Dragan Milicic, Mirko Prime (1982)
Mathematische Annalen
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Wim H. Hesselink (1980)
Mathematische Annalen
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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...
Brian D. Boe, Thomas J. Enright (1986)
Mathematische Annalen
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Johan F. Aarnes (1979)
Mathematische Annalen
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R. Parthasarathy (1977)
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Serganova, Vera (1998)
Documenta Mathematica
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Tadeusz Józefiak (2009)
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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.
Marko Tadic (1996)
Mathematische Annalen
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Alexander Premet (1995)
Inventiones mathematicae
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Teleman, Kostake (2006)
Balkan Journal of Geometry and its Applications (BJGA)
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