Representations of the loop braid groups from braided tensor categories

DOI10.1063/5.0005266zbMath1443.81062arXiv2004.10896OpenAlexW3024306998MaRDI QIDQ3298935

Liang Chang

Publication date: 16 July 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10896

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Loops, quasigroups (20N05) Anyons (81V27) 2-dimensional monad theory (18N15)

Cites Work

• Unnamed Item
• The Yang-Baxter equation and invariants of links
• The theory of motion groups
• Tensor categories with fusion rules of self-duality for finite abelian groups
• Virtual knot theory
• A modular functor which is universal for quantum computation
• Configuration spaces of rings and wickets
• Representations of the necklace braid group: topological and combinatorial approaches
• A journey through loop braid groups
• Exotic statistics for strings in 4d BF theory
• LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP
• EXTENDING REPRESENTATIONS OF BRAID GROUPS TO THE AUTOMORPHISM GROUPS OF FREE GROUPS
• Low-dimensional representations of the three component loop braid group
• Topological quantum computation
• Tensor Categories

This page was built for publication: Representations of the loop braid groups from braided tensor categories