equation 14.89 eq:lie-sopq-dim
open in the book ·
parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:2479
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Supports
- depends_on proposition 14.69 The de~Sitter algebras are isometry algebras ¶
- step_from equation 14.114 eq:lie-conformal-dim ¶
-
step_from
equation 14.96
eq:lie-lorentz-dim
¶
- step_from equation 14.100 eq:lie-poincare-dim ¶
- step_from equation 14.31 eq:lie-so3-dim ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | The de~Sitter algebras are isometry algebras | declared | parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3103 |
step_from |
← | eq:lie-conformal-dim | declared — signature $(D,2)$, so the underlying space has dimension $D+2$ | parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3152 |
step_from |
← | eq:lie-lorentz-dim | declared — Lorentzian signature, $p = D-1$ and $q = 1$ | parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:2686 |
step_from |
← | eq:lie-so3-dim | declared — the case $p=3$, $q=0$, so that $D=3$ | parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:1044 |