Tomasz Brzeziński

activity

20092026

most citedQuantum principal bundles over quantum real projective spaces

19 citations · 95 across the 22 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.RA2014

Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two

Tomasz Brzeziński

Two-dimensional integrable differential calculi for classes of Ore extensions of the polynomial ring and the Laurent polynomial ring in one variable are constructed. Thus it is con…

math.QA2014★ 5 cited

Notes on quantum weighted projective spaces and multidimensional teardrops

Tomasz Brzeziński, Simon A. Fairfax

It is shown that the coordinate algebra of the quantum $2 n + 1$ -dimensional lens space $O (L_{q}^{2 n + 1} (\prod_{i = 0}^{n} m_{i}; m_{0}, \dots, m_{n}))$ is a principal $Z$ -comod…

math.QA2014

Smooth geometry of the noncommutative pillow, cones and lens spaces

Tomasz Brzeziński, Andrzej Sitarz

This paper proposes a new notion of smoothness of algebras, termed differential smoothness, that combines the existence of a top form in a differential calculus over an algebra tog…