16 citations · 20 across the 7 of their papers we have counts for
7 papers
Translation Hopf algebras and Hopf heaps
Tomasz Brzeziński, Małgorzata Hryniewicka
To every Hopf heap or quantum cotorsor of Grunspan a Hopf algebra of translations is associated. This translation Hopf algebra acts on the Hopf heap making it a Hopf-Galois co-obje…
Affine Nijenhuis Operators and Hochschild Cohomology of Trusses
Tomasz Brzeziński, James Papworth
The classical Hochschild cohomology theory of rings is extended to abelian heaps with distributing multiplication or trusses. This cohomology is then employed to give necessary and…
A remark on the Hochschild dimension of liberated quantum groups
Tomasz Brzeziński, Ulrich Krähmer, Réamonn Ó Buachalla +1
Let be a Hopf algebra equipped with a projection onto the coordinate Hopf algebra of a semisimple algebraic group . It is shown that if admits a suitabl…
On the algebra of elliptic curves
Tomasz Brzeziński
It is argued that a nonsingular elliptic curve admits a natural or fundamental abelian heap structure uniquely determined by the curve itself. It is shown that the set of complex a…
Lie trusses and heaps of Lie affebras
Tomasz Brzeziński
A frame-independent formulation of Lie brackets on affine spaces or {\em Lie affebras} introduced in [K.\ Grabowska, J.\ Grabowski \& P.\ Urbański, Lie brackets on affine bundles,…
Heaps of modules and affine spaces
Simion Breaz, Tomasz Brzeziński, Bernard Rybołowicz +1
A notion of heaps of modules as an affine version of modules over a ring or, more generally, over a truss, is introduced and studied. Basic properties of heaps of modules are deriv…
Homothetic Rota-Baxter systems and Dyck-algebras
Tomasz Brzeziński
It is shown that generalized Rota-Baxter operators introduced in [W.A. Martinez, E.G. Reyes & M. Ronco, Int. J. Geom. Meth. Mod. Phys. 18 (2021) 2150176] are a special case of Rota…