theorem A.422 The Virasoro extension
open in the book ·
appendices/A-long-proofs.tex:20710
· p. 2998
Rests on
-
depends_on
definition A.421
Witt algebra
¶
- depends_on definition 14.72 Central extension ¶
-
depends_on
definition 14.75
The classifying group
¶
-
depends_on
definition 14.74
Coboundary and triviality
¶
-
depends_on
proposition 14.73
The extension datum is a $2$-cocycle
¶
- depends_on definition 14.72 Central extension ¶ ↺
- proves proof ch:12-lie-groups-fibre-bundles@proof-35 ¶
-
depends_on
proposition 14.73
The extension datum is a $2$-cocycle
¶
- depends_on proposition 14.73 The extension datum is a $2$-cocycle ¶ ↺
-
depends_on
definition 14.74
Coboundary and triviality
¶
-
depends_on
proposition 14.76
$H^{2}$ classifies the central extensions
¶
- depends_on definition 14.72 Central extension ¶ ↺
- depends_on definition 14.74 Coboundary and triviality ¶ ↺
- depends_on definition 14.75 The classifying group ¶ ↺
- depends_on proposition 14.73 The extension datum is a $2$-cocycle ¶ ↺
- proves proof ch:12-lie-groups-fibre-bundles@proof-36 ¶
- proves proof app:A-long-proofs@proof-254 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Witt algebra | declared | appendices/A-long-proofs.tex:20724 |
depends_on |
→ | The classifying group | declared | appendices/A-long-proofs.tex:20724 |
depends_on |
→ | $H^{2}$ classifies the central extensions | declared | appendices/A-long-proofs.tex:20724 |
proves |
← | app:A-long-proofs@proof-254 | declared | appendices/A-long-proofs.tex:20727 |