equation 5.29 eq:lin-indepli2
open in the book ·
parts/02-mathematical-methods/03-linear-algebra-representations.tex:820
- connected by a declared semantic edge
Rests on
No declared or derived dependency edges point away from this node yet.
Supports
-
depends_on
proposition 5.45
prop:lin-matrix-unique
¶
-
depends_on
proposition 5.125
prop:lin-matrix-algebra
¶
- depends_on corollary 5.168 cor:rep-adjoint-faithful ¶
-
depends_on
definition 5.162
Representation of an algebra
¶
-
depends_on
definition 5.163
Faithful, equivalent, invariant
¶
- depends_on corollary 5.168 cor:rep-adjoint-faithful ¶ ↺
- depends_on proposition 5.164 The kernel is an ideal ¶
-
depends_on
proposition 5.167
Adjoint representation
¶
- depends_on corollary 5.168 cor:rep-adjoint-faithful ¶ ↺
- depends_on proposition 5.164 The kernel is an ideal ¶ ↺
-
depends_on
definition 5.163
Faithful, equivalent, invariant
¶
-
depends_on
definition 9.21
Matrix exponential
¶
-
depends_on
proposition 9.22
The exponential and its derivative
¶
- depends_on theorem 9.23 Solution of a constant-coefficient system ¶
-
depends_on
proposition 9.22
The exponential and its derivative
¶
-
depends_on
proposition 5.139
Dimension of the symplectic group
¶
-
depends_on
proposition 24.5
Properties of the symplectic group
¶
- depends_on remark 24.6 Connectedness, and what it rests on ¶
- depends_on remark 24.7 Contrast with the orthogonal group ¶
- depends_on remark 22.21 The count ¶
-
depends_on
proposition 24.5
Properties of the symplectic group
¶
- depends_on proposition 5.51 prop:lin-matrix-inverse ¶
- depends_on proposition 5.54 prop:lin-same-dim-isomorphic ¶
- depends_on proposition 5.167 Adjoint representation ¶ ↺
-
depends_on
proposition 5.125
prop:lin-matrix-algebra
¶
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 |
← | prop:lin-matrix-unique | declared | parts/02-mathematical-methods/03-linear-algebra-representations.tex:2073 |