An efficient method for calculating the normal form and the associated non-linear transformations for the semi-simple case without central manifold reduction is given in this ...

The aim of this paper is to present a symbolic calculation approach for the basic facts for the Lie a-graded (super) algebra of derivations of the Grassmann algebra of ...

This textbook on mathematical methods of physics is designed for a one-semester graduate or two-semester advanced undergraduate course. Formal methods are supplemented by ...

Abstract Geometric algebra, or Clifford algebra, is a powerful mathematical language that contains vector algebra as a subsystem. It has applications across a range of ...

A new systematic procedure for calculating the electromagnetic fields in anisotropic planar multilayer structures is presented. Working in the Fourier domain and utilizing ...

We present SpinorsExtras package implementing massive spinor-helicity formalism in Mathematica on top of S@M package. Package defines new objects for Mathematica - massive ...

Actions of the Picard group PSL(2, Z[i]) on PL(Fp), where p ≡1(mod 4), are investigated through diagrams. Each diagram is composed of fragments of three types. A ...

In this article we present analytical derivation of the Fuss relations for n = 11 (hendecagon) and n = 12 (dodecagon). We base our derivation on the Poncelet closure theorem ...

We present the Mathematica package E6Tensors, a tool for explicit tensor calculations in E6 gauge theories. In addition to matrix expressions for the group generators of E6, ...

In this work we calculate the corrections to the amputated Green’s functions of four-fermion operators, in 1-loop lattice perturbation theory. One of the novel aspects of ...