𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized braided quantum groups

✍ Scribed by Mićo Durdević


Publisher
The Hebrew University Magnes Press
Year
1997
Tongue
English
Weight
689 KB
Volume
98
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Braided Groups and Quantum Fourier Trans
✍ V. Lyubashenko; S. Majid 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 908 KB

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

Braided bosonization and inhomogeneous q
✍ Bernhard Drabant 📂 Article 📅 1996 🏛 Springer Netherlands 🌐 English ⚖ 731 KB

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

Braided groups and algebraic quantum fie
✍ Shahn Majid 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 426 KB 👁 1 views

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 b

Braids,q-Binomials, and Quantum Groups
✍ Marcelo Aguiar 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 414 KB 👁 1 views

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 Ž n. of the braid i group algebra kB , and these satisfy analogs