139 citations · 766 across the 45 of their papers we have counts for
7 papers · 2 filters
Braided Geometry and the Inductive Construction of Lie Algebras and Quantum Groups
S. Majid
Double-bosonisation associates to a braided group in the category of modules of a quantum group, a new quantum group. We announce the semiclassical version of this inductive constr…
New Quantum Groups by Double-Bosonisation
S. Majid
We obtain new family of quasitriangular Hopf algebras $C^{0|n}_q\lcross \widetilde{U_q(su_n)}\rcross C^{0|n}_q$ via the author's recent double-bosonisation construction for new qua…
Advances in Quantum and Braided Geometry
S. Majid
We demonstrate our recent general results on the Casimir construction and moduli space of all bicovariant calculi by means of some detailed examples, including finite-difference an…
Classification of Bicovariant Differential Calculi
S. Majid
We show that the bicovariant first order differential calculi on a factorisable semisimple quantum group are in 1-1 correspondence with irreducible representations of the quant…
Diagrammatics of Braided Group Gauge Theory
S. Majid
We develop a gauge theory or theory of bundles and connections on them at the level of braids and tangles. Extending recent algebraic work, we provide now a fully diagrammatic trea…
Coalgebra Gauge Theory
T. Brzezinski, S. Majid
We develop a generalised gauge theory in which the role of gauge group is played by a coalgebra and the role of principal bundle by an algebra. The theory provides a unifying point…
Braided Geometry of the Conformal Algebra
S. Majid
We show that the action of the special conformal transformations of the usual (undeformed) conformal group is the scaling limit of the braided adjoint action or -commut…