Nous nous inspirons des extensions de type Galois et des structures enlacées pour définir
la notion d'extension principale d'algèbres non commutatives. Nous montrons que les …

We construct noncommutative principal fibrations S θ 7→ S θ 4 which are deformations of
the classical SU (2) Hopf fibration over the four sphere. We realize the noncommutative …

We construct a quantum version of the SU (2) Hopf bundle S 7→ S 4. The quantum sphere S
7 q arises from the symplectic group Sp q (2) and a quantum 4-sphere S 4 q is obtained via …

The theory of general Galois-type extensions is presented, including the interrelations
between coalgebra extensions and algebra (co) extensions, properties of corresponding …

Galois comodules of a coring are studied. The conditions for a simple comodule to be a
Galois comodule are found. A special class of Galois comodules termed principal …

An algebraic framework for noncommutative bundles with (quantum) homogeneous fibres is
proposed. The framework relies on the use of principal coalgebra extensions which play the …

Non-commutative geometry of quantised contact spheres introduced by Omori et al. in [J.
Math. Soc. Jpn. 50 (1998) 915; Noncommutative 3-sphere as an Example of …

One may ask whether this is a reasonable definition of Poisson module. It is, in a sense, the
categorical notion of Poisson bimodule as it verifies the so-called square-zero construction …

arXiv:math/0606586v1 [math.QA] 23 Jun 2006 Page 1 arXiv:math/0606586v1 [math.QA] 23 Jun
2006 AN EXPLICIT FORMULA FOR A STRONG CONNECTION EJ BEGGS & TOMASZ …

A natural isomorphism between the cyclic object computing the relative cyclic homology of a
homogeneous quotient-coalgebra-Galois extension, and the cyclic object computing the …