Theorems · Definition · number theory

QuadraticMap.associated

{R : Type u_3} →
  {M : Type u_4} →
    {N : Type u_5} →
      [inst : CommRing R] →
        [inst_1 : AddCommGroup M] →
          [inst_2 : Module R M] →
            [inst_3 : AddCommGroup N] →
              [inst_4 : Module R N] → [Invertible 2] → QuadraticMap R M N →ₗ[R] LinearMap.BilinMap R M N

associated is the linear map that sends a quadratic map over a commutative ring to its associated symmetric bilinear map.

Defined in

Mathlib.LinearAlgebra.QuadraticForm.Basic

Cited by

34 results in Mathlib

Foundations

Depth 55 from the axioms · uses propext, Quot.sound

Assumes

CommRingAddCommGroupModuleAddCommGroupModuleInvertible