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Results tagged with representation-theory
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user 330791
The systematic study of group representations, which describe abstract groups in terms of linear transformations of vector spaces, such that group elements or their generators are represented as matrices, reducing group-theoretic problems to linear-algebraic ones.
0
votes
1
answer
64
views
Computing $\left\langle\chi^{V}, \chi^{V}\right\rangle$ in $D_3$
I am having trouble computing $\left\langle\chi^{V}, \chi^{V}\right\rangle$ in $D_3$. The character table is:
$$
\begin{array}{c|ccc}
& (E) & (R) & (S) \\
\hline D^{V} & 3 & 0 & -1
\end{array}
$$
In …
- 310
1
vote
0
answers
75
views
What elements of my group am I missing and which group is it? [closed]
I am working on an exercise which is asking to find the elements of the symmetry group of the following figure given below:
Note that the rectangular sides of the box all have the exact same pattern w …
- 310