The general linear group of linear maps #

The general linear group is defined to be the group of invertible linear maps from M to itself.

See also Matrix.GeneralLinearGroup

Main definitions #

def LinearMap.GeneralLinearGroup (R : Type u_1) (M : Type u_2) [Semiring R] [AddCommMonoid M] [Module R M] :
Type u_2

The group of invertible linear maps from M to itself

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    An invertible linear map f determines an equivalence from M to itself.

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      An equivalence from M to itself determines an invertible linear map.

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        The general linear group on R and M is multiplicatively equivalent to the type of linear equivalences between M and itself.

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