# Questions tagged [group-theory]

Questions on the group-theoretic functionality of Mathematica.

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### Unstable work of PolynomialMod

I tried to use PolynomialMod for my calculation and i need some help on working with it, because i'll need to use it several hundred times. I made such a request ...
• 23
1 vote
95 views

### The central product and the permutation representation of the Pauli group of order 16

I am interested in obtaining a permutation representation of the Pauli Group $G_1 = \langle X, Y, Z \rangle$. I think this would be easy enough as a "Regular representation" but then I learn ...
1 vote
59 views

### Why is SymmetrizedArray taking so much memory?

The context is: I take the tensor product of 2 totally symmetric tensors of rank 8, in 2 dimensions(in this case there are only 9 independent components): ...
• 669
1 vote
34 views

### Efficient chain rule implementation

(there is a fair amount of context here) I am implementing a generalized chain rule to do some work, say for order 3 in derivatives ($\partial_i = \partial/\partial x_i$): \begin{align} \partial_i \...
• 669
185 views

### Calculating the basis set of quotient spaces

Having a polynomial $f(x,y)$, I would like to compute the following quantity \begin{equation*} {\mathbb C}[X,Y,Z]/\langle f_{x}, f_{y}, f_{z} \rangle, \end{equation*} where $f_{x},f_{y},f_{z}$ are, ...
• 1,043