Zuckerman functors for Lie superalgebras. (Foncteurs de Zuckerman pour les superalgèbres de Lie.)
de Sousa Oliveira Santos, José Carlos (1999)
Journal of Lie Theory
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de Sousa Oliveira Santos, José Carlos (1999)
Journal of Lie Theory
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N.R. Wallach, Rocha-Caridi, A. (1983)
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...
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.
Alessandro D'Andrea (2004)
Bollettino dell'Unione Matematica Italiana
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In this communication, I recall the main results [BDK1] in the classification of finite Lie pseudoalgebras, which generalize several previously known algebraic structures, and announce some new results [BDK2] concerning their representation theory.
Joseph F. Johnson (1984)
Mathematische Annalen
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David A., Jr. Vogan (1983)
Inventiones mathematicae
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Nolan R. Wallach, Alvany Rocha-Caridi (1984)
Mathematische Zeitschrift
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Henryk Hecht (1979)
Mathematische Annalen
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Bryant, R.M. (2009)
Beiträge zur Algebra und Geometrie
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Olivier Mathieu (1992)
Inventiones mathematicae
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G. Malle, Meinholf Geck, Gerhard Hiss (1996)
Mathematische Zeitschrift
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