definition A.62 Absolutely simple
open in the book ·
appendices/A-long-proofs.tex:4141
· p. 2823
- ground object -- no derivation owed
Rests on
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Supports
-
depends_on
lemma A.63
The invariant bilinear forms of an absolutely simple
algebra form a line
¶
- depends_on theorem A.64 Completeness of the factorised bilinear forms ¶
-
depends_on
theorem 15.54
Completeness in the bilinear case
¶
-
depends_on
definition 15.66
Gram form of a functional
¶
- depends_on corollary 15.70 Signature of the factorised form ¶
-
depends_on
lemma 15.67
Multiplication is $B_{\psi}$-self-adjoint
¶
- depends_on theorem 15.68 Positive Gram forms are positive sums of real characters ¶
- depends_on theorem 15.68 Positive Gram forms are positive sums of real characters ¶ ↺
-
depends_on
definition 15.66
Gram form of a functional
¶
- depends_on theorem A.64 Completeness of the factorised bilinear forms ¶ ↺
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| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
← | The invariant bilinear forms of an absolutely simple algebra form a line | declared | appendices/A-long-proofs.tex:4156 |
depends_on |
← | Completeness of the factorised bilinear forms | declared | appendices/A-long-proofs.tex:4215 |