The notation GL(n, C) refers to the general linear group of degree n over the complex numbers. It consists of all n x n invertible matrices with complex entries. The group operation is matrix multiplication, and the identity element is the n x n identity matrix. GL(n, C) plays a crucial role in various areas of mathematics, including linear algebra, representation theory, and geometry. Its structure helps in understanding transformations and symmetries in vector spaces, making it a fundamental concept in both pure and applied mathematics.