Theorems · Definition · group theory

IsAddIndecomposable.baseOf

{ι : Type u_1} →
  {M : Type u_2} →
    {S : Type u_4} → [inst : AddMonoid M] → [LinearOrder S] → [inst_2 : AddMonoid S] → (ι → M) → (M →+ S) → Set ι

The "base" of v relative to a morphism f. In the case that v is the set of roots of a crystallographic root system, and S = ℚ, this is the base of the root system associated to f.

Defined in

Mathlib.Algebra.Group.Irreducible.Indecomposable

Cited by

15 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext

Assumes

AddMonoidLinearOrderAddMonoid