Small-dimensional projective representations of symmetric and alternating groups
Representation Theory
2011-12-19 v2 Group Theory
Abstract
We classify the irreducible projective representations of symmetric and alternating groups of minimal possible and second minimal possible dimensions, and get a lower bound for the third minimal dimension. On the way we obtain some new results on branching which might be of independent interest.
Cite
@article{arxiv.1106.3123,
title = {Small-dimensional projective representations of symmetric and alternating groups},
author = {Alexander S. Kleshchev and Pham Huu Tiep},
journal= {arXiv preprint arXiv:1106.3123},
year = {2011}
}
Comments
35 pages