zts Options [-g NumGen] M N Seed [Sub]
- Options
- Standard options, see Standard Command Line Options
- -g
- Set number of generators (default is 2).
- -n --no-action
- Do not calculate the action of the generators on the invariant subspace. Output only the subspace.
- M
- First representation (left factor).
- N
- Second representation (right factor).
- Seed
- Seed vector(s).
- Sub
- Invariant subspace. Also used as basename for the action on the invariant subspace.
- M.1, M.2, ...
- Generator action on left module. Unless changed with -g, two generators are read.
- N.1, N.2, ...
- Generator action on right module
- Seed
- Seed vector(s).
- Sub
- Basis of the invariant subspace.
- Sub.1, Sub.2, ...
- Generator action on the invariant subspace.
- See also:
-
This program is similar to
zsp, but it works on the tensor product of two modules, M⊗N.
zts spins up one or more vectors, and optionally calculates a matrix representation corresponding to the invariant subspace. The program does not use the matrix representation of the generators on M⊗N, which would be too large in many cases. This program is used, for example, to spin up vectors that have been uncondensed with
tuc.
The action of the generators on both M and N must be given as square matrices, see "Input Files" above. You can use the -g option to specify the number of generators. The default is two generators.
Seed vectors are read from Seed. They must be given with respect to the lexicographically ordered basis explained below.
If the Sub argument is given, ZTS writes a basis of the invariant subspace to Sub, calculates the action of the generators on the invariant subspace, and writes it to Sub.1, Sub.2,...
Let

be a basis of
M,

a basis of
N, and denote by

the lexicographically ordered basis

. For

, the coordinate row

has

entries which can be arranged as a

matrix (top to bottom, left to right). Let

denote this matrix. Then
Using this relation, we can calculate the image of any vector
under an algebra element
, and thus spin up a vector without using the matrix representation of
on
.