Questions on the group-theoretic functionality of Mathematica.

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7
votes
0answers
112 views

$3\times 3 = 6 + \bar{3}$ in Mathematica?

Can Mathematica handle this type of algebra, which is used very frequently in e.g. particle/nuclear physics? That is, I want to decompose a product of representations (in $SU(N)$ say) into irreducible ...
0
votes
0answers
43 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
81 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 ...