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Identity Transformation
Linked via "Spacetime Physics"
| Group Theory | $e$ or $\mathrm{Id}$ | The unique neutral element. | All Groups |
| Set Theory | $\mathrm{id}_A$ | $f: A \to A$, where $f(x)=x$. | Symmetry Group of a Set |
| Spacetime Physics | $\Lambda = \mathbf{1}$ | $\Lambda^0{}0 = 1$, $\Lambda^i{}j = \delta^i{}_j$. | Lorentz Group ($O(1, 3)$) |
The Identity Transformation and Quantum State