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Eigenvalues of Casimir invariants for type I quantum superalgebras - MaRDI portal

Eigenvalues of Casimir invariants for type I quantum superalgebras (Q1912763)

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Eigenvalues of Casimir invariants for type I quantum superalgebras
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    Eigenvalues of Casimir invariants for type I quantum superalgebras (English)
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    23 June 1996
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    In this letter a general eigenvalue formula is stated for the Casimir invariants of type I superalgebras acting on irreducible finite dimensional models. The proof is claimed to be lengthy and detailed and is therefore deferred to a separate publication. As an example the eigenvalues are computed in the case of the vector representation of the superalgebras \(U_q(gl(m,n))\) and \(U_q (osp(2,2n))\).
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    quantum superalgebras
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    Yang-Baxter equation
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    Casimir invariants
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    type I superalgebras
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    eigenvalues
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