Extraspecial 2-groups and images of braid group representations

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dc.creatorFranko, Jennifer
dc.creatorRowell, Eric C.
dc.creatorWang, Zhenghan
dc.date2005-03-21
dc.date2005-04-05
dc.date.accessioned2026-07-07T06:29:08Z
dc.date.available2026-07-07T06:29:08Z
dc.descriptionWe investigate a family of (reducible) representations of Artin's braid groups corresponding to a specific solution to the Yang-Baxter equation. The images of the braid groups under these representations are finite groups, and we identify them precisely as extensions of extra-special 2-groups. The decompositions of the representations into their irreducible constituents are determined, which allows us to relate them to the well-known Jones representations of the braid groups factoring over Temperley-Lieb algebras and the corresponding link invariants.
dc.description14 Pages, updated references
dc.identifierhttps://arxiv.org/abs/math/0503435
dc.identifierhttp://arxiv.org/abs/math/0503435
dc.identifierJ. Knot Theory Ramifications, 15 no. 4 (2006) 413-428.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97927
dc.subjectRepresentation Theory
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subjectPrimary 20F36; Secondary 20D15, 57M25
dc.titleExtraspecial 2-groups and images of braid group representations
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