Reminder: NCG seminar

[Ludwik Dabrowski]

Paolo Aschieri
Università del Piemonte Orientale (Alessandria) and ICTP (Trieste)

"Gauge groups of noncommutative principal bundles"

We discuss different approaches to the study of noncommutative gauge
transformations; these can be traced back to different approaches to derivations
(infinitesimal automorphisms) of noncommutative algebras.
When considering noncommutative principal bundles equivariant under an external
triangular Hopf algebra K, infinitesimal automorphisms are naturally described
by K-braided derivations and infinitesimal K-braided gauge transformations
form a braided Lie algebra. Its universal enveloping algebra is a braided Hopf algebra.
The examples of the instanton bundle and of the theta-noncommutative SO(5) bundle
on the theta-noncommutative 4-sphere are presented.

Thursday 7 April 15:00, SISSA room 132 (Note chage of the venue).

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