Quantum groups and diagonalization of the braid generator
โ Scribed by M. D. Gould
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 533 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0377-9017
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๐ SIMILAR VOLUMES
The classical identities between the q-binomial coefficients and factorials can be generalized to a context in which numbers are replaced by braids. More precisely, for every pair i, n of natural numbers, there is defined an element b ลฝ n. of the braid i group algebra kB , and these satisfy analogs
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