Displaying similar documents to “Characters of Irreducible Representations of the Lie Algebra of Vector Fields on the Circle.”

Irreducible tensor representations of general linear Lie superalgebras

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.

Explicit representations of classical Lie superalgebras in a Gelfand-Zetlin basis

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...