From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms

Engel Expansions of q-Series by Computer Algebra

The q-Engel Expansion is an algorithm that leads to unique series expansions of qseries. Various examples related to classical partition theorems, including the RogersRamanujan identities together with the elegant generalization found by Garrett, Ismail and Stanton, have been described recently. The object of this paper is to present the computer algebra package Engel, written in Mathematica, t...

Algorithms and computer algebra from particle physics

I report on two programs, “gTybalt” and “nestedsums”, which were originally developed for the calculation of quantum loop corrections in particle physics. However, these programs solve tasks, which are not specific to particle physics. The first one, “gTybalt”, is a free computer algebra system based entirely on open-source code. The program is build on top of other packages. It offers the poss...

Algorithms for computer algebra

Computer Algebra Algorithms*

INTRODUCTION ...................................................................................................................... 1 ARITHMETIC ........................................................................................................................... 2 Integer and Polynomial Addition, Multiplication, and Division with Remainder ............. 2 Integer and Polynomial Greatest C...

A non-commutative Minkowskian spacetime from a quantum AdS algebra

A quantum deformation of the conformal algebra of the Minkowskian spacetime in (3 + 1) dimensions is identified with a deformation of the (4 + 1)-dimensional AdS algebra. Both Minkowskian and AdS first-order non-commutative spaces are explicitly obtained, and the former coincides with the well known κ-Minkowski space. Next, by working in the conformal basis, a new non-commutative Minkowskian sp...