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Restricted Kac modules of Hamiltonian Lie superalgebras of odd type

Representation Theory 2018-07-27 v1

Abstract

This paper aims to describe the restricted Kac modules of restricted Hamiltonian Lie superalgebras of odd type over an algebraically closed field of characteristic p>3p>3. In particular, a sufficient and necessary condition for the restricted Kac modules to be irreducible is given in terms of typical weights.

Keywords

Cite

@article{arxiv.1403.0063,
  title  = {Restricted Kac modules of Hamiltonian Lie superalgebras of odd type},
  author = {Jixia Yuan and Wende Liu},
  journal= {arXiv preprint arXiv:1403.0063},
  year   = {2018}
}

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13 pages