126 citations · 186 across the 4 of their papers we have counts for
4 papers
Noncommutative gauge fields coupled to noncommutative gravity
P. Aschieri, L. Castellani
We present a noncommutative (NC) version of the action for vielbein gravity coupled to gauge fields. Noncommutativity is encoded in a twisted star product between forms, with a set…
Noncommutative Symmetries and Gravity
Paolo Aschieri
Spacetime geometry is twisted (deformed) into noncommutative spacetime geometry, where functions and tensors are now star-multiplied. Consistently, spacetime diffeomorhisms are twi…
Inhomogeneous quantum groups IGL_{q,r}(N): Universal enveloping algebra and differential calculus
P. Aschieri, L. Castellani
A review of the multiparametric linear quantum group GL_qr(N), its real forms, its dual algebra U(gl_qr(N)) and its bicovariant differential calculus is given in the first part of…
An introduction to non-commutative differential geometry on quantum groups
P. Aschieri, L. Castellani
We give a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case ( limit). The L…