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19972026
most citedFIESTA5: numerical high-performance Feynman integral evaluation

100 citations

Showing 2024Show all

6 papers · 1 filter

math.RA2024★ 2 cited

An Upper Bound on the Length of an Algebra and Its Application to the Group Algebra of the Dihedral Group

M. A. Khrystik

Let be an -algebra and let be its generating set. The length of is the smallest number such that equals the $\mat…

math.RA2024

On finite-dimensional homogeneous Lie algebras of derivations of polynomial rings

Ivan Arzhantsev, Sergey Gaifullin, Viktor Lopatkin

For a finite set of homogeneous locally nilpotent derivations of the algebra of polynomials in several variables, a finite dimensionality criterion for the Lie algebra generated by…

math.GT2024★ 1 cited

Forester's lattices and small non-Leighton complexes

Natalia S. Dergacheva, Anton A. Klyachko

We construct two CW-complexes and admitting a common, but not finite common, covering, where is homeomorphic to a complex with a single 2-cell.

hep-ph2024★ 8 cited

Expansion by regions meets angular integrals

Vladimir A. Smirnov, Fabian Wunder

We study the small-mass asymptotic behavior of so-called angular integrals, appearing in phase-space calculations in perturbative quantum field theory. For this purpose we utilize…

math.GR2024

Finite symmetric groups are strongly verbally closed

Olga K. Karimova, Anton A. Klyachko

Answering a question of A. V. Vasil'ev, we show that each finite symmetric (or alternating) group is a retract of any group containing as a verbally closed subgroup.

math.GT2024

Tiny non-Leighton complexes

Natalia S. Dergacheva, Anton A. Klyachko

How complex must two finite 2-complexes be to admit a common, but not finite common, covering? We obtain an almost answer: the minimum possible number of triangles in a pseudo-simp…