GiNaC-cycle
This is an implementation of the Schwerdtfeger--Fillmore--Springer--Cnops construction (SFSCc) based on the Clifford algebra capacities of the GiNaC computer algebra system. SFSCc linearises the linear-fraction action of the Möbius group. This turns to be very useful in several theoretical and applied fields including engineering. The core of this realisation of SFSCc is done for an arbitrary dimension, while a subclass for two dimensional cycles add some 2D-specific routines including a visualisation to PostScript files through the MetaPost or Asymptote software. The package is realised as a C++ library and there are several Python wrapper of it, which can be used in interactive mode. This library is a backbone of many results published in several works of the author, which serve as illustrations of its usage. It can be ported (with various level of required changes) to other CAS with Clifford algebras capabilities. There is an ISO image of a Live Debian DVD which can be used to boot a computer with i386 architecture or run inside an emulator, e.g. Virtual box. An ISO image of live DVD system can be downloaded from Google Drive: https://docs.google.com/file/d/0BzfWNH9hAT3VMFl6Z3Z4aVJmcW8
Keywords for this software
References in zbMATH (referenced in 8 articles , 2 standard articles )
Showing results 1 to 8 of 8.
Sorted by year (- Brewer, Sky: Projective cross-ratio on hypercomplex numbers (2013)
- Kisil, Vladimir V.: Induced representations and hypercomplex numbers (2013)
- Kisil, Vladimir V.: Hypercomplex representations of the Heisenberg group and mechanics (2012)
- Kisil, Vladimir V.: Erlangen program at large-1: geometry of invariants (2010)
- Kisil, Vladimir V.: Two-dimensional conformal models of space-time and their compactification (2007)
- Kisil, Vladimir V.: Fillmore-Springer-Cnops construction implemented in GiNaC (2007)
- Kisil, Vladimir V.: An example of Clifford algebras calculations with GiNaC (2005)
- Kisil, Vladimir V.; Biswas, Debapriya: Elliptic, parabolic and hyperbolic analytic function theory-0: geometry of domains (2004)