modular representation

Modular representation is a way of studying symmetry in mathematical objects by considering how they behave when operations are done "modulo" a certain number. Instead of tracking exact values, we look at their remainders after division by that number. This approach simplifies complex problems, allowing us to analyze the structure of groups (collections of symmetries) and their actions in a different, often more manageable, setting. Imagine measuring angles in degrees but treating 360° as equivalent to 0°, focusing on the position within a cycle rather than the total. Modular representations help in understanding symmetries in algebra, number theory, and other fields.