4 citations · 7 across the 6 of their papers we have counts for
5 papers · 1 filter
An algebraic framework for noncommutative bundles with homogeneous fibres
Tomasz Brzeziński, Wojciech Szymański
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 ro…
The Quantum Flag Manifold as an Example of a Noncommutative Sphere Bundle
Tomasz Brzeziński, Wojciech Szymański
The quantum flag manifold is interpreted as a noncommutative bundle over the quantum complex projective plane with the quantum or Podleś sphere as a fibre.…
On the Relationship between Classical and Deformed Hopf Fibrations
Tomasz Brzeziński, James Gaunt, Alexander Schenkel
The -deformed Hopf fibration over the commutative -sphere is compared with its classical counterpart. It is shown that there exists a natural…
Rota-Baxter systems, dendriform algebras and covariant bialgebras
Tomasz Brzeziński
A generalisation of the notion of a Rota-Baxter operator is proposed. This generalisation consists of two operators acting on an associative algebra and satisfying equations simila…
Divergences on projective modules and non-commutative integrals
Tomasz Brzeziński
A method of constructing (finitely generated and projective) right module structure on a finitely generated projective left module over an algebra is presented. This leads to a con…