Braid representations from unitary braided vector spaces
Copyright policy )Braid representations from unitary braided vector spaces
We investigate braid group representations associated with unitary braided vector spaces, focusing on a conjecture that such representations should have virtually abelian images in general and finite image provided the braiding has finite order. We verify this conjecture for the two infinite families of Gaussian and group-type braided vector spaces, as well as the generalization to quasi-braided vector spaces of group-type.
- Texas A&M Research Foundation United States
- The University of Texas System United States
- Universidad de Los Andes Colombia
Finite-dimensional groups and algebras motivated by physics and their representations, Ordinary representations and characters, 20F36, 20C25, Monoidal, symmetric monoidal and braided categories, Mathematics - Quantum Algebra, braided fusion categories, FOS: Mathematics, Quantum Algebra (math.QA), unitary representations of braid groups, Braid groups; Artin groups, braided vector spaces
Finite-dimensional groups and algebras motivated by physics and their representations, Ordinary representations and characters, 20F36, 20C25, Monoidal, symmetric monoidal and braided categories, Mathematics - Quantum Algebra, braided fusion categories, FOS: Mathematics, Quantum Algebra (math.QA), unitary representations of braid groups, Braid groups; Artin groups, braided vector spaces
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