6 citations · 9 across the 4 of their papers we have counts for
6 papers
Constructive Arithmetics in Ore Localizations Enjoying Enough Commutativity
Johannes Hoffmann, Viktor Levandovskyy
This paper continues a research program on constructive investigations of non-commutative Ore localizations, initiated in our previous papers, and particularly touches the construc…
Gröbner bases for fusion products
Johannes Flake, Ghislain Fourier, Viktor Levandovskyy
We provide a new approach towards the analysis of the fusion products defined by B.~Feigin and S.~Loktev in the representation theory of (truncated) current Lie algebras. We unders…
Existence of quantum symmetries for graphs on up to seven vertices: a computer based approach
Christian Eder, Viktor Levandovskyy, Julien Schanz +3
The symmetries of a finite graph are described by its automorphism group; in the setting of Woronowicz's quantum groups, a notion of a quantum automorphism group has been defined b…
Left saturation closure for Ore localizations
Johannes Hoffmann, Viktor Levandovskyy
In this paper, we introduce the notion of LSat, the left saturation closure of a subset of a module at a subset of the base ring, which generalizes multiple important concepts rela…
A remark on the Dixmier Conjecture
V. V. Bavula, V. Levandovskyy
The Dixmier Conjecture says that every endomorphism of the (first) Weyl algebra (over a field of characteristic zero) is an automorphism, i.e., if for some $P, Q \i…
On Two-generated Non-commutative Algebras Subject to the Affine Relation
Christoph Koutschan, Viktor Levandovskyy, Oleksandr Motsak
We consider algebras over a field K, generated by two variables x and y subject to the single relation yx = qxy + ax + by + c for q in K^* and a, b, c in K. We prove, that among su…