RootFormIn — Mathlib

English

The algebra map sends RootFormIn to RootForm on the root span.

Русский

Алгебраическое отображение переводит RootFormIn в RootForm на корневом охвате.

LaTeX

$$$\\mathrm{algebraMap}\ n_S R\\bigl(P.RootFormIn S x y\\bigr) = P.RootForm x y$$$

Lean4

/-- A canonical bilinear form on the span of roots in a finite root pairing, taking values in a
commutative ring, where the root-coroot pairing takes values in that ring. -/
def RootFormIn : LinearMap.BilinForm S (P.rootSpan S) :=
  ∑ i, (P.coroot'In S i).smulRight (P.coroot'In S i)

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