"Elements of finite order (EFO) in Lie groups"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| 10번째 줄: | 10번째 줄: | ||
===$SU(n)$=== | ===$SU(n)$=== | ||
| − | * $N(G,m)= \frac{1}{m}{n+m-1\choose m-1}$ | + | * $N(G,m)= \frac{1}{m}{n+m-1\choose m-1}$ if $(n,m)=1$ |
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==related items== | ==related items== | ||
2013년 2월 11일 (월) 13:27 판
introduction
- explicit formulas for the number of conjugacy classes of EFOs in Lie groups
- appears for the number of certain vacua in the quantum moduli space of M-theory compactifications on manifolds of $G_2$ holonomy
- $N(G,m)$ : number of conjugacy classes of $G$ in $E(G,m)$
EFO in unitary groups
$U(n)$
- $N(G,m)= {n+m-1\choose m-1}$
$SU(n)$
- $N(G,m)= \frac{1}{m}{n+m-1\choose m-1}$ if $(n,m)=1$