proposition 15.6 Functoriality
open in the book ·
parts/02-mathematical-methods/13-lie-algebra-expansions.tex:155
· p. 603
Rests on
- depends_on definition 15.3 Tensor product Lie algebra ¶
-
depends_on
theorem 15.4
The construction produces a Lie algebra
¶
- depends_on definition 15.3 Tensor product Lie algebra ¶ ↺
- proves proof ch:13-lie-algebra-expansions@proof-1 ¶
- proves proof ch:13-lie-algebra-expansions@proof-2 ¶
Supports
- depends_on theorem 15.13 Classification of $\mathfrak{g}_{A}$ by the algebra ¶
-
depends_on
theorem 15.34
The truncation tower is a tower of central extensions
¶
-
depends_on
corollary 15.36
Bargmann in $3{+}1$, extended Bargmann in $2{+}1$
¶
- depends_on example 15.64 The whole chapter at $D=4$ ¶
- depends_on remark 15.59 The central charge is what makes the form work ¶
-
depends_on
corollary 15.35
Where the central charges are
¶
- depends_on corollary 15.36 Bargmann in $3{+}1$, extended Bargmann in $2{+}1$ ¶ ↺
- depends_on example 15.64 The whole chapter at $D=4$ ¶ ↺
-
depends_on
corollary 15.36
Bargmann in $3{+}1$, extended Bargmann in $2{+}1$
¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Tensor product Lie algebra | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:164 |
depends_on |
→ | The construction produces a Lie algebra | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:164 |
depends_on |
← | Classification of $\mathfrak{g}_{A}$ by the algebra | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:449 |
depends_on |
← | The truncation tower is a tower of central extensions | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:1166 |
proves |
← | ch:13-lie-algebra-expansions@proof-2 | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:167 |