CARAT

CARAT is a computer package which handles enumeration, construction, recognition, and comparison problems for crystallographic groups up to dimension 6. The name CARAT itself is an acronym for Crystallographic AlgoRithms And Tables. CARAT is a compilation of various programs written in C developed under HP-UX and Linux, and should be portable to most Unices. In particular CARAT does not come together with an environment, but relies on the ordinary unixes shell and files for input and output. This is one of the points which distiguishes CARAT from most other packages for computer algebra, like GAP. If you would like such a user interface, the current version of GAP comes with an interface to CARAT, which enables one to use the most important functions of CARAT, but not all. Computer algebra system (CAS).


References in zbMATH (referenced in 35 articles )

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  1. Lutowski, Rafał; Putrycz, Bartosz: Spin structures on flat manifolds (2015)
  2. Mertens, Michael H.: Automorphism groups of hyperbolic lattices (2014)
  3. Fischer, Maximilian; Ratz, Michael; Torrado, Jesús; Vaudrevange, Patrick K.S.: Classification of symmetric toroidal orbifolds (2013)
  4. Gąsior, A.; Szczepański, A.: Tangent bundles of Hantzsche-Wendt manifolds (2013)
  5. Petrosyan, Nansen; Putrycz, Bartosz: On cohomology of crystallographic groups with cyclic holonomy of split type. (2012)
  6. Szczepański, A.: Eta invariants for flat manifolds (2012)
  7. Donten, Maria: On Kummer 3-folds (2011)
  8. Kitayama, Hidetaka: The rationality problem for purely monomial group actions (2011)
  9. Console, S.; Miatello, R.J.; Rossetti, J.P.: $\Bbb Z_2$-cohomology and spectral properties of flat manifolds of diagonal type (2010)
  10. Gilkey, Peter B.; Miatello, Roberto J.; Podestá, Ricardo A.: The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order (2010)
  11. Ratcliffe, John G.; Tschantz, Steven T.: Fibered orbifolds and crystallographic groups (2010)
  12. Dekimpe, Karel; Hałenda, Marek; Szczepański, Andrzej: Kähler flat manifolds (2009)
  13. Sikirić, Mathieu Dutour; Schürmann, Achill; Vallentin, Frank: Complexity and algorithms for computing Voronoi cells of lattices (2009)
  14. Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank: A generalization of Voronoi’s reduction theory and its application (2008)
  15. Miatello, R.J.; Podestá, R.A.; Rossetti, J.P.: $\mathbbZ_2^k$-manifolds are isospectral on forms (2008)
  16. Sadowski, Michał: Topological and affine classification of complete noncompact flat 4-manifolds (2008)
  17. Dekimpe, Karel; De Rock, Bram; Malfait, Wim: The Anosov relation for Nielsen numbers of maps of infra-nilmanifolds (2007)
  18. Wüchner, Roland; Kupzok, Alexander; Bletzinger, Kai-Uwe: A framework for stabilized partitioned analysis of thin membrane-wind interaction (2007)
  19. Bletzinger, Kai-Uwe; Wüchner, Roland; Kupzok, Alexander: Algorithmic treatment of shells and free form-membranes in FSI (2006)
  20. Eick, Bettina; Souvignier, Bernd: Algorithms for crystallographic groups (2006)

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