OAI/RepresentationTheory/FoulkesHowe/TensorPresentation.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

1. def OAI.Problem346.symMonomialMultilinearRaw line 15

   Source documentation

   Multiplication of degree-one generators as a multilinear map.

   def symMonomialMultilinearRaw :
       MultilinearMap ℂ (fun _ : Fin n => V) (SymmetricAlgebra ℂ V) :=
   …

2. theorem OAI.Problem346.symMonomialMultilinearRaw_apply line 20
3. def OAI.Problem346.tensorToSymPowRaw line 24

   Source documentation

   The tensor-power presentation of the homogeneous symmetric power.

   def tensorToSymPowRaw :
       (⨂[ℂ] _ : Fin n, V) →ₗ[ℂ] SymmetricAlgebra ℂ V :=
   …

4. theorem OAI.Problem346.tensorToSymPowRaw_tprod line 28
5. theorem OAI.Problem346.tensorToSymPowRaw_range line 32
6. def OAI.Problem346.tensorToSymPow line 39

   Source documentation

   Multiplication of tensors, with codomain restricted to degree n.

   def tensorToSymPow : (⨂[ℂ] _ : Fin n, V) →ₗ[ℂ] SymPow n V :=
   …

   Mentions: OAI.Problem346.SymPow

7. theorem OAI.Problem346.tensorToSymPow_tprod line 44
8. theorem OAI.Problem346.tensorToSymPow_surjective line 49