equation 26.16 eq:cd-first-class-algebra

open in the book · parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:387

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depends_on definition A.647 Koszul–Tate differential ¶
- depends_on lemma A.651 Acyclicity of $\delta$ ¶
  - depends_on proposition A.655 Uniqueness up to a canonical transformation ¶
  - depends_on theorem A.653 Existence of a nilpotent BRST charge ¶
    - depends_on proposition A.655 Uniqueness up to a canonical transformation ¶ ↺
- depends_on lemma A.648 $\delta$ is the ghost bracket with $\Omega_{(0)}$, and $\delta^{2}=0$ ¶
  - depends_on lemma A.652 Nilpotency, order by order ¶
    - depends_on proposition A.654 The Yang–Mills case ¶
    - depends_on proposition A.655 Uniqueness up to a canonical transformation ¶ ↺
    - depends_on theorem A.653 Existence of a nilpotent BRST charge ¶ ↺
depends_on definition 26.50 The BRST charge ¶
- depends_on notation A.646 Gradings and brackets ¶
  - depends_on definition A.647 Koszul–Tate differential ¶ ↺
  - depends_on lemma A.652 Nilpotency, order by order ¶ ↺
- depends_on theorem 26.51 Existence and uniqueness of the BRST charge ¶
depends_on notation A.646 Gradings and brackets ¶ ↺
depends_on proposition A.654 The Yang–Mills case ¶ ↺
depends_on proposition 26.48 Consistency of the state conditions ¶
depends_on theorem A.653 Existence of a nilpotent BRST charge ¶ ↺
depends_on theorem 26.51 Existence and uniqueness of the BRST charge ¶ ↺

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Edges

type	direction	node	provenance	where
`depends_on`	←	Koszul–Tate differential	declared	appendices/A-long-proofs.tex:31592
`depends_on`	←	The BRST charge	declared	parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:2055
`depends_on`	←	Gradings and brackets	declared	appendices/A-long-proofs.tex:31555
`depends_on`	←	The Yang–Mills case	declared	appendices/A-long-proofs.tex:31932
`depends_on`	←	Consistency of the state conditions	declared	parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:1857
`depends_on`	←	Existence of a nilpotent BRST charge	declared	appendices/A-long-proofs.tex:31867
`depends_on`	←	Existence and uniqueness of the BRST charge	declared	parts/03-classical-mechanics/09-constrained-hamiltonian-dynamics.tex:2074