Irreducible Representations of Baumslag-Solitar Groups

Details Irreducible Representations of Baumslag-Solitar Groups Irreducible Representations of Baumslag-Solitar Groups

2011-12-16

arxiv.org/abs/1112.3952v1

Mathematics

Group Theory

Scientific paper

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).

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