In mathematics, the special linear group SL ( n , R ) {\displaystyle \operatorname {SL} (n,R)} of degree n {\displaystyle n} over a commutative ring R {\displaystyle R} is the set of n × n {\displaystyle n\times n} matrices with determinant 1 {\displaystyle 1} , with the group operations of ordinary matrix multiplication and matrix inversion. This is the normal subgroup of the general linear group given by the kernel of the determinant det : GL ( n , R ) → R × .
In mathematics, the special linear group SL ( n , R ) {\displaystyle \operatorname {SL} (n,R)} of degree n {\displaystyle n} over a commutative ring R {\displaystyle R} is the set of n × n {\displaystyle n\times n} matrices with determinant 1 {\displaystyle 1} , with the group operations of ordinary matrix multiplication and matrix inversion. This is the normal subgroup of the general linear group given by the kernel of the determinant det : GL ( n , R ) → R × .
Source: Wikipedia "Special linear group" · CC BY-SA 4.0
Share this article: X · Bluesky