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Character Formulae for Ortho-symplectic Lie Superalgebras $\mathfrak{osp}(n|2)$

Representation Theory 2010-01-22 v2 Quantum Algebra

Abstract

The character formula of any finite dimensional irreducible module LλL_\lambda for Lie superalgebra osp(n2)\mathfrak{osp}(n|2) is computed. As a by-product, the decomposition of tensor module LλCn2L_\lambda\otimes \mathbb{C}^{n|2}, where Cn2\mathbb{C}^{n|2} is the natural representation, is obtained.

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Cite

@article{arxiv.0909.3134,
  title  = {Character Formulae for Ortho-symplectic Lie Superalgebras $\mathfrak{osp}(n|2)$},
  author = {Li Luo},
  journal= {arXiv preprint arXiv:0909.3134},
  year   = {2010}
}

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26 pages