Irreducible Representations of Baumslag-Solitar Groups

Published 16 Dec 2011 in math.GR and math.RT | (1112.3952v1)

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).

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Daniel McLaury

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