SL(n)
The notation SL(n) refers to the special linear group of degree n, which consists of all n x n matrices with a determinant equal to 1. This group is important in various areas of mathematics, including algebra, geometry, and physics, as it represents transformations that preserve volume in n-dimensional space.
SL(n) is a subgroup of the general linear group GL(n), which includes all invertible n x n matrices. The structure of SL(n) is rich and complex, often studied in the context of Lie groups and representation theory, making it a fundamental object in modern mathematics.