24 citations · 128 across the 26 of their papers we have counts for
27 papers
An algorithm for annihilator and Bernstein-Sato polynomial of a rational function
Manuel González-Villa, Edwin León-Cardenal, Viktor Levandovskyy +1
The singularity theory of rational functions, i.e., the quotient of two polynomials, has been investigated in the past two decades. The Bernstein-Sato polynomial of a rational func…
Modular Algorithms For Computing Gröbner Bases in Free Algebras
Clemens Hofstadler, Viktor Levandovskyy
In this work, we extend modular techniques for computing Gröbner bases involving rational coefficients to (two-sided) ideals in free algebras. We show that the infinite nature of G…
Computing Free Non-commutative Groebner Bases over Z with Singular:Letterplace
Viktor Levandovskyy, Tobias Metzlaff, Karim Zeid
With this paper we present an extension of our recent ISSAC paper about computations of Groebner(-Shirshov) bases over free associative algebras Z<X>. We present all the needed pro…
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…