Irreducible Representations of Baumslag-Solitar Groups
Group Theory
2012-09-19 v1 Representation Theory
Abstract
We classify the finite-dimensional irreducible linear representations of the Baumslag-Solitar groups BS(p,q) = < a, b | a b^p = b^q a > for relatively prime p and q. The general strategy of the argument is to consider the matrix group given by image of a representation and study its Zariski closure in GL(n, C).
Keywords
Cite
@article{arxiv.1112.3952,
title = {Irreducible Representations of Baumslag-Solitar Groups},
author = {Daniel McLaury},
journal= {arXiv preprint arXiv:1112.3952},
year = {2012}
}