On semisimple representations of universal lattices

  • Daniel K. Shenfeld

    Princeton University, USA

Abstract

We study finite-dimensional semisimple complex representations of the universal lattices (). One may obtain such a representation by specializing to some complex values and composing the induced homomorphism with a rational representation of . We show that any semisimple representation coincides, on a subgroup of finite index, with a direct sum of tensor products of representations obtained in this way.

Cite this article

Daniel K. Shenfeld, On semisimple representations of universal lattices. Groups Geom. Dyn. 4 (2010), no. 1, pp. 179–193

DOI 10.4171/GGD/79