Theorems · Definition · nonassociative algebras

RootPairing.Aut

{ι : Type u_1} →
  {R : Type u_2} →
    {M : Type u_3} →
      {N : Type u_4} →
        [inst : CommRing R] →
          [inst_1 : AddCommGroup M] →
            [inst_2 : Module R M] →
              [inst_3 : AddCommGroup N] →
                [inst_4 : Module R N] → RootPairing ι R M N → Type (max (max (max (max (max u_1 u_3) u_4) u_1) u_3) u_4)

The automorphism group of a root pairing.

Defined in

Mathlib.LinearAlgebra.RootSystem.Hom

Cited by

30 results in Mathlib

Foundations

Depth 8 from the axioms · uses no axioms

Assumes

CommRingAddCommGroupModuleAddCommGroupModule