general linear group scheme
Observe that if is any commutative ring, as usual (http://planetmath.org/ExampleOfFunctorOfPointsOfAScheme) with schemes, an -point of is given by specifying, for each and , an element that is the image of , and by specifying one other element such that
In other words, an -point of is an invertible matrix with entries in .
As usual with schemes, we denote the -points of by ; we see that this notion does not lead to confusion, since it is exactly what is meant by the usual usage of this notation (see entry General Linear Group).
|Title||general linear group scheme|
|Date of creation||2013-03-22 14:11:16|
|Last modified on||2013-03-22 14:11:16|
|Last modified by||alozano (2414)|