Research output: Contribution to journal › Article

Journal | Annales scientifiques de l ecole normale superieure |
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Date | Published - 1997 |

Issue number | 6 |

Volume | 30 |

Number of pages | 26 |

Pages (from-to) | 847-872 |

Original language | English |

We study a distinguished basis in the centre of the enveloping algebra of the Lie superalgebra q(N). The irreducible polynomial representations of q(N) are labelled by decreasing sequences of positive integers lambda = (lambda(1),...,lambda(l)) with l less than or equal to N. The elements of our basis are labelled by the same sequences. The basic element C-lambda of the centre vanishes in the irreducible representation corresponding to a sequence mu if and only if lambda(i) > mu(i) for some i. We obtain an explicit formula for the element C-lambda.

- ENVELOPING ALGEBRA

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