traceForm — Mathlib

English

Another articulation: mapIncl M' N' equals map M'.incl N'.incl, i.e., the canonical tensor inclusion.

Русский

Еще одно изложение: mapIncl M' N' = map M'.incl N'.incl, то есть каноническое включение тензора.

LaTeX

$$$$\mathrm{mapIncl}(M',N') = \mathrm{map}(M'.\mathrm{incl},N'.\mathrm{incl}).$$$$

Lean4

/-- A finite, free representation of a Lie algebra `L` induces a bilinear form on `L` called
the trace Form. See also `killingForm`. -/
noncomputable def traceForm : LinearMap.BilinForm R L :=
  ((LinearMap.mul _ _).compl₁₂ (φ).toLinearMap (φ).toLinearMap).compr₂ (trace R M)

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