English

Composition factors of Kac-modules for the general linear Lie superalgebras $gl_{m|n}$

Quantum Algebra 2007-05-23 v2 Representation Theory

Abstract

The composition factors of Kac-modules for the general linear Lie superalgebras glmngl_{m|n} are explicitly determined. In particular, a conjecture of Hughes, King and van der Jeugt in [J. Math. Phys., 41 (2000), 5064-5087] is proved.

Keywords

Cite

@article{arxiv.math/0404154,
  title  = {Composition factors of Kac-modules for the general linear Lie superalgebras $gl_{m|n}$},
  author = {Yucai Su},
  journal= {arXiv preprint arXiv:math/0404154},
  year   = {2007}
}

Comments

19 pages