Braid Group Representations of Low Degree

DOI10.1112/plms/s3-73.2.279zbMath0855.20038OpenAlexW2083114259MaRDI QIDQ4715314

Edward W. Formanek

Publication date: 27 January 1997

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-73.2.279

zbMATH Keywords

braid groupstensor productsBurau representationirreducible complex representationsvarieties of semisimple representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Braid groups; Artin groups (20F36)

Related Items (22)

The Irreducible Six-Dimensional Complex Representations of Aut(F₂) That Are Nontrivial-on F₂ ⋮ SOME LINEAR REPRESENTATIONS OF BRAID GROUPS ⋮ Irreducible decomposition of the Magnus representation of the Torelli group ⋮ On the representations of the braid group constructed by C. M. Egea and E. Galina ⋮ On the (in)finiteness of the image of Reshetikhin-Turaev representations ⋮ Low-dimensional representations of \(\text{Aut}(F_ 2)\) ⋮ Section problems for configurations of points on the Riemann sphere ⋮ On the representation theory of braid groups. ⋮ Extensions of the Tong-Yang-Ma representation ⋮ Irreducibility of the tensor product of specializations of the Burau representation of the braid groups. ⋮ IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS ⋮ A faithfulness criterion for the Gassner representation of the pure braid group ⋮ Complex specializations of the reduced Gassner representation of the pure braid group ⋮ Irreducible representations of braid group \(B_n\) of dimension \(n + 1\) ⋮ Characterizations of the Burau representation. ⋮ Topological qubit design and leakage ⋮ Dimension \(n\) representations of the braid group on \(n\) strings ⋮ Unitary braid representations with finite image. ⋮ Unnamed Item ⋮ Tensoring three irreducible linear representations of the braid group ⋮ Tensor products of specializations of the Burau representation. ⋮ On class of local systems associated to plane curves.

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