Unitary braid representations with finite image

Larsen, Michael; Rowell, Eric

doi:10.2140/agt.2008.8.2063

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ISSN (electronic): 1472-2739

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Unitary braid representations with finite image

Michael Larsen and Eric Rowell

Algebraic & Geometric Topology 8 (2008) 2063–2079

DOI: 10.2140/agt.2008.8.2063

Abstract

We characterize unitary representations of braid groups $B_{n}$ of degree linear in $n$ and finite images of such representations of degree exponential in $n$ .

Keywords

braid group, unitary representations

Mathematical Subject Classification 2000

Primary: 20F36

Secondary: 20C15

References

Publication

Received: 31 May 2008

Revised: 25 September 2008

Accepted: 29 September 2008

Published: 5 November 2008

Authors

Michael Larsen
Department of Mathematics Indiana University Bloomington, IN 47405 USA
http://mlarsen.math.indiana.edu/~larsen/
Eric Rowell
Department of Mathematics Texas A&M University College Station, TX 77843-3368 USA
http://www.math.tamu.edu/~rowell/

Volume 8, issue 4 (2008)