SL(n, ℝ) refers to the special linear group of degree n over the real numbers. It consists of all n x n real matrices with a determinant equal to 1. This group is important in various areas of mathematics, including geometry and algebra, as it represents transformations that preserve volume. The elements of SL(n, ℝ) can be thought of as linear transformations that maintain certain properties of space. This group is a key example of a Lie group, which connects algebraic structures with continuous symmetries, and plays a significant role in the study of symmetry and group theory.