CARAT Introduction / Programs / Symbol
Program Symbol
Usage
Symbol 'file' [-i] [-B] [-t] [-f]
file: bravais_TYP.
Description
Identify the family symbol of a finite unimodular group
given in 'file'.
Options
-i : Identify the group in file even more,
ie. give the position and representative of it's
Bravais group in the catalog.
-B : Assume the group to be a Bravais group, ie. do not
calculate the bravais group of it. Note, the order of
the Bravais group must be correct.
-t : (Does only work in conjunction with -i) Give
the transformation matrix which conjugates
the given group to the group in the catalog.
-f : recalculate the form space even if it is given.
(has an effect only if given with the option -i)
Remarks
See also for Bravais_catalog/Datei and Q_catalog.
Symbol -i is a synonym for Bravais_type.
Examples
- How do the Z-classes in the Q-class of a given group distribute
into their Bravais flocks?
- Find the dual pairs of Bravais groups in family 1;1;1;1
- Is the normalizer of a given group finite?