English

Structure of parabolically induced modules for affine Kac-Moody algebras

Representation Theory 2018-04-09 v4

Abstract

The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a a construction of many new irreducible modules.

Keywords

Cite

@article{arxiv.1610.07082,
  title  = {Structure of parabolically induced modules for affine Kac-Moody algebras},
  author = {Vyacheslav Futorny and Iryna Kashuba},
  journal= {arXiv preprint arXiv:1610.07082},
  year   = {2018}
}

Comments

appear in J.Algebra