All Questions
Tagged with permutation tensors
7
questions
0
votes
1
answer
65
views
Permute subsystems of a matrix?
Suppose I have a matrix $M$ acts on the space $\mathbb C^4\otimes \mathbb C^2\otimes \mathbb C^4\otimes \mathbb C^3$. Is there a method to permute the 2nd subsystem of $M$ and the 4th subsystem of $M$?...
- 381
5
votes
3
answers
129
views
Implementing symmetry assumptions in FullSimplify
I want to symmetrise a long expression, M, that involves a function of 4 arguments, f[u1,u2,d1,d2], and its products (for ...
- 399
5
votes
3
answers
122
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Find transformations for two non-square matrices $A$ and $B$
Given two matrices $A$ and $B$:
What transformation needs to be applied to transform matrix $A$ into matrix $B$?
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- 2,444
5
votes
1
answer
146
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Pair-wise antisymmetric tensor
I am trying to define a tensor $T$ which is antisymmetric under pair-wise exchange of its indices:
$T = \delta_{a],[b}\,\delta_{c],[d}\,\delta_{e],[f}\,\delta_{g],[h}$
where $T$ is antisymmetric under ...
- 73
2
votes
1
answer
185
views
Independent permutation symmetry of a tensor [Using TensorSymmetry command]
Suppose I have this tensor $A_{ijkl} = \epsilon_{ik} \epsilon_{jl}+\epsilon_{il} \epsilon_{jk}$. Now I want to find all the independent permutation symmetries of the indices of this tensor. The answer ...
5
votes
1
answer
109
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How to determine computationally the set of linear independent permutations of a tensor with known symmetries?
I have a tensor $t$ with components $t_{i_1 i_2 \dots i_n}$. The tensor $t$ has some index symmetries $\{s_i\}_{i=1}^m$. Consider now all index permutations $p = \{\{1,2,3,\dots,n\},\{2,1,3,\dots,n\},\...
- 5,503
10
votes
3
answers
651
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Reduce the output from tuples by including symmetry?
I need all the possible 3x3 binary tensors, but I'd like to have this account for symmetries. I've started by using the Tuples command.
Tuples[{1, 0}, {3, 3}]
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