𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Cylinder braiding for quantum linear groups

✍ Scribed by Tammo tom Dieck


Publisher
Springer-Verlag
Year
1999
Tongue
French
Weight
114 KB
Volume
232
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Generalized braided quantum groups
✍ MiΔ‡o DurdeviΔ‡ πŸ“‚ Article πŸ“… 1997 πŸ› The Hebrew University Magnes Press 🌐 English βš– 689 KB
Braid Groups are Linear Groups
✍ S. Bachmuth πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 396 KB

to the memories of wilhelm magnus and horace mochizuki ## 1. Introduction Let B n designate the braid group on n strings (Artin [1]). In 1936 Burau [7] gave a matrix representation of B n and in 1961 Gassner [8] generalized Burau's representation. B 2 is infinite cyclic and hence is a linear group

Braids,q-Binomials, and Quantum Groups
✍ Marcelo Aguiar πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 414 KB πŸ‘ 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 Ε½ n. of the braid i group algebra kB , and these satisfy analogs

Braided Groups and Quantum Fourier Trans
✍ V. Lyubashenko; S. Majid πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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 πŸ“‚ Article πŸ“… 1996 πŸ› Springer Netherlands 🌐 English βš– 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 πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 426 KB πŸ‘ 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