Questions on the group-theoretic functionality of Mathematica.

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3
votes
1answer
213 views

What is the underlying algorithm for GroupElementToWord?

What algorithm is Mathematica 9 using for GroupElementToWord[group, g]?
0
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0answers
21 views

How to distribute PermutationProduct over the sum

Assuming I have two elements of the permutation group algebra $a_1$, $a_2$ such that $a_i=\sum_{p\in S_n}\alpha_pp$, I want to define a linear product $\odot$ that distributes over the sum and pulls ...
0
votes
0answers
35 views

How to specify the ordering of elements in an (algebraic) group?

Is there a way to fully specify the ordering of elements in an algebraic group? (This ordering affects the output of several other group-theoretical operations.) For example, how can I set the ...
0
votes
0answers
68 views

Group theory - symmetry inequivalent sqaure matrices with PBC

I would like to obtain the symmetry inequivalent possible occupations of indistinguishable objects in a square lattice with periodic boundary conditions. Examples: 1 object in a 4 by 4 square ...