A quaternionic braid representation (after Goldschmidt and Jones)

Details A quaternionic braid representation (after Goldschmidt and Jones) A quaternionic braid representation (after Goldschmidt and Jones)

2010-06-24

arxiv.org/abs/1006.4808v2

Mathematics

Quantum Algebra

version 2: minor changes, post-referee

Scientific paper

We show that the braid group representations associated with the $(3,6)$-quotients of the Hecke algebras factor over a finite group. This was known to experts going back to the 1980s, but a proof has never appeared in print. Our proof uses an unpublished quaternionic representation of the braid group due to Goldschmidt and Jones. Possible topological and categorical generalizations are discussed.

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