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Lies and Beyond Navigating Lie Theory

Abstract

Garry Hazat

Lie theory, named after the Norwegian mathematician Sophus Lie, is a profound branch of mathematics with far-reaching applications in various fields such as physics, engineering, and computer science. At its core, Lie Theory deals with the study of continuous symmetry, providing a powerful framework for understanding the behaviour of geometric objects and the solutions to differential equations. However, Lie Theory goes beyond mere mathematical abstraction; it delves into the very fabric of reality, revealing the hidden symmetries that underlie the laws of nature.

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