OAI/RepresentationTheory/FoulkesHowe/FiniteDimension.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- instance
OAI.Problem346.finiteDimensional_symPowline 12Source documentation
Every homogeneous symmetric power of a finite-dimensional complex space is finite dimensional. The proof uses its tensor-power presentation.
instance finiteDimensional_symPow (n : ℕ) (V : Type u) [AddCommGroup V] [Module ℂ V] [FiniteDimensional ℂ V] : FiniteDimensional ℂ (SymPow n V) := …Mentions: OAI.Problem346.SymPow