English

On Representations of Classical Groups over Finite Local Rings of Length Two

Representation Theory 2011-04-25 v2

Abstract

We study the complex irreducible representations of special linear, symplectic, orthogonal and unitary groups over principal ideal local rings of length two. We construct a canonical correspondence between the irreducible representations of all such groups that preserves dimensions. The case for general linear groups has already been proved by author.

Keywords

Cite

@article{arxiv.1101.3696,
  title  = {On Representations of Classical Groups over Finite Local Rings of Length Two},
  author = {Pooja Singla},
  journal= {arXiv preprint arXiv:1101.3696},
  year   = {2011}
}

Comments

10 pages