Theorems · Definition · nonassociative algebras
HVertexOperator
(Γ : Type u_5) →
[PartialOrder Γ] →
(R : Type u_6) →
[inst : CommRing R] →
(V : Type u_7) →
(W : Type u_8) →
[inst_1 : AddCommGroup V] → [Module R V] → [inst_3 : AddCommGroup W] → [Module R W] → Type (max u_7 u_8 u_5)A heterogeneous Γ-vertex operator over a commutator ring R is an R-linear map from an
R-module V to Γ-Hahn series with coefficients in an R-module W.
- Defined in
- Mathlib.Algebra.Vertex.HVertexOperator
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapproof · cited by 10,215
- PartialOrderstatement and proof · cited by 6,410
- HahnModuleproof · cited by 51
Cited by21
Results whose statement or proof uses this declaration.
- HVertexOperator.coeffstatement and proof · cited by 12
- VertexOperatorproof · cited by 8
- HVertexOperator.compHahnSeriesstatement and proof · cited by 4
- HVertexOperator.of_coeffstatement · cited by 3
- HVertexOperator.coeff_apply_applystatement and proof · cited by 3
- HVertexOperator.compHahnSeries_coeffstatement and proof · cited by 2
- HVertexOperator.extstatement and proof · cited by 2
- VertexOperator.ncoeff_applystatement · cited by 2
- HVertexOperator.compstatement and proof · cited by 2
- VertexOperator.coeff_eq_ncoeffstatement · cited by 1
- HVertexOperator.coeff_injstatement and proof · cited by 1
- HVertexOperator.coeff_isPWOsupportstatement and proof · cited by 1