Braided groups and algebraic quantum field theories
โ Scribed by Shahn Majid
- Publisher
- Springer
- Year
- 1991
- Tongue
- English
- Weight
- 426 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0377-9017
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โฆ Synopsis
We introduce the notion of a braided group. This is analogous to a supergroup with Bose-Fermi statistics __+ l replaced by braid statistics. We show that every algebraic quantum field theory in two dimensions leads to a braided group of internal symmetries. Every quantum group can be viewed as a braided group.
๐ SIMILAR VOLUMES
We show that acting on every finite-dimensional factorizable ribbon Hopf algebra \(H\) there are invertible operators \(\mathscr{S}_{-}, \mathscr{T}\) obeying the modular identities \(\left(\mathscr{S}_{-} \mathscr{T}\right)^{3}=\lambda \mathscr{P}^{2}\), where \(\lambda\) is a constant. The class i
We consider quasitriangular Hopf algebras in braided tensor categories introduced by Majid. It is known that a quasitriangular Hopf algebra H in a braided monoidal category C induces a braiding in a full monoidal subcategory of the category of H-modules in C. Within this subcategory, a braided versi
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