activity
19962026
most citedSix-dimensional nilpotent Lie algebras

112 citations · 156 across the 38 of their papers we have counts for

collaborators

42 papers

math.RA2026

Invariants of Nilpotent Lie Algebras via Geometry and Algebra with a Focus on Computation

Csaba Schneider, Igor Martins Silva

We consider the problem of computing rational invariants of nilpotent Lie algebras. We compare two methods that are commonly used for this task: the method of integral curves and t…

math.GR2023★ 2 cited

Generalized torsion elements in groups

Raimundo Bastos, Csaba Schneider, Danilo Silveira

A group element is called a generalized torsion if a finite product of its conjugates is equal to the identity. We prove that in a nilpotent or FC-group, the generalized torsion el…

math.RA2022

The center and invariants of standard filiform Lie algebras

Vanderlei Lopes de Jesus, Csaba Schneider

This paper describes the centers of the universal enveloping algebras and the invariant rings of the standard filiform Lie algebras over fields of characteristic zero and also over…

math.RA2021

The center of the universal enveloping algebras of small-dimensional nilpotent Lie algebras in prime characteristic

Vanderlei Lopes de Jesus, Csaba Schneider

We describe the centers of the universal enveloping algebras of nilpotent Lie algebras of dimension at most six over fields of prime characteristic. If the characteristic is not sm…

math.AG2021★ 7 cited

Effective computations of the Atiyah-Bott formula

Giosuè Muratore, Csaba Schneider

We present an implementation of the Atiyah-Bott residue formula for . We use this implementation to compute a large number of Gromov-Witten in…

math.GR2020★ 2 cited

The geometry of diagonal groups

R. A. Bailey, Peter J. Cameron, Cheryl E. Praeger +1

Diagonal groups are one of the classes of finite primitive permutation groups occurring in the conclusion of the O'Nan-Scott theorem. Several of the other classes have been describ…