TiledArray::Irrep Class Reference
Documentation
Irrep of an 
symmetric group.
The data is represented using Yamanouchi symbol, 
, which is a row of 
numbers 
, where is the number of the row in the standard Young tableau, counting from above, in which the number 
appears. For example, the standard irreps for the 
group are:
![\[ \begin{tabular}{ c c c } Young tableaux & partition [$\mu$] & Yamanouchi symbols M \\ & & \\ \begin{tabular}{ |c| } \hline 1 \\ \hline 2 \\ \hline 3 \\ \hline \end{tabular} & [111] & 123 \\ & & \\ \begin{tabular}{ |c|c|c| } \hline 1 & 2 & 3 \\ \hline \end{tabular} & [3] & 111 \\ & & \\ \begin{tabular}{ |c|c } \hline 1 & \multicolumn{1}{|c|}{2} \\ \hline 3 \\ \cline{1-1} \end{tabular} & [21] & 112 \\ & & \\ \begin{tabular}{ |c|c } \hline 1 & \multicolumn{1}{|c|}{3} \\ \hline 2 \\ \cline{1-1} \end{tabular} & [21] & 121 \\ \end{tabular} \]](form_77.png)
To construct an irrep, you must provide the partition for the Young tableaux and the Yamanouchi symbols as follows:
Irrep S3_irrep({1,1,1}, {1,2,3});
Public Member Functions | |
| Irrep ()=delete | |
| Irrep (Irrep &&)=default | |
| ~Irrep ()=default | |
| Irrep & | operator= (Irrep &&)=default |
| Irrep (const Irrep &other) | |
| Irrep (const std::initializer_list< unsigned int > &mu, const std::initializer_list< unsigned int > &M) | |
| Irrep constructor. More... | |
| Irrep & | operator= (const Irrep &other) |
| Copy operator. More... | |
| unsigned int | degree () const |
| Irrep degree accessor. More... | |
| const unsigned int * | data () const |
| Data accessor. More... | |
Constructor & Destructor Documentation
◆ Irrep() [1/4]
|
delete |
◆ Irrep() [2/4]
|
default |
◆ ~Irrep()
|
default |
◆ Irrep() [3/4]
◆ Irrep() [4/4]
|
inline |
Member Function Documentation
◆ data()
|
inline |
◆ degree()
|
inline |
◆ operator=() [1/2]
◆ operator=() [2/2]
The documentation for this class was generated from the following file:
- TiledArray/symm/irrep.h
Irrep()=delete
