139 citations · 766 across the 45 of their papers we have counts for
17 papers · 1 filter
Quantum and braided group Riemannian geometry
S. Majid
We formulate quantum group Riemannian geometry as a gauge theory of quantum differential forms. We first develop (and slightly generalise) classical Riemannian geometry in a self-d…
Quantum geometry of field extensions
S. Majid
We show that noncommutative differential forms on , a field, are of the form where is a field extension. We compute the case expl…
Braided-Lie bialgebras
S. Majid
We introduce braided Lie bialgebras as the infinitesimal version of braided groups. They are Lie algebras and Lie coalgebras with the coboundary of the Lie cobracket an infinitesim…
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…