Theorems · Definition · group theory

Matrix.GLPos

(n : Type u) →
  (R : Type v) →
    [inst : DecidableEq n] →
      [inst_1 : Fintype n] →
        [inst_2 : CommRing R] → [inst_3 : LinearOrder R] → [IsStrictOrderedRing R] → Subgroup (GL n R)

This is the subgroup of nxn matrices with entries over a linear ordered ring and positive determinant.

Defined in

Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs

Cited by

16 results in Mathlib

Foundations

Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqFintypeCommRingLinearOrderIsStrictOrderedRing