Theorems · Definition · nonassociative algebras

LieAlgebra.Basis.borelUpper

{ι : Type u_1} →
  {R : Type u_2} →
    {L : Type u_3} →
      [inst : Finite ι] →
        [inst_1 : CommRing R] →
          [inst_2 : LieRing L] →
            [inst_3 : LieAlgebra R L] → {H : LieSubalgebra R L} → LieAlgebra.Basis ι H → LieSubmodule R (↥H) L

The nilpotent part of the "upper" Borel subalgebra associated to a basis.

Defined in

Mathlib.Algebra.Lie.Basis.Basic

Cited by

5 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FiniteCommRingLieRingLieAlgebra