A quaternionic braid representation (after Goldschmidt and Jones). (Q542639)
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| Language | Label | Description | Also known as |
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| English | A quaternionic braid representation (after Goldschmidt and Jones). |
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A quaternionic braid representation (after Goldschmidt and Jones). (English)
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10 June 2011
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Summary: 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 Our proof uses an unpublished quaternionic representation of the braid group due to Goldschmidt and Jones.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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braid groups
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Hecke algebras
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modular categories
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braid group representations
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