# 2/3-Unveiling the Universe's Hidden Symmetries with Group Theory

> By leveraging cloud computing, the exploration of cosmic symmetries through group theory progresses from foundational concepts like discrete and Lie groups to advanced applications in quantum mechanics and higher spin systems.

[This section explores the application of group theory within cloud computing, presenting animated demonstrations of group fundamentals, discrete groups, and Lie groups, alongside analyses of representation theory in quantum mechanics, including higher spin systems, irreducibility of Pauli matrices, characters, commutation relations, and the Wigner-Eckart Theorem.](https://viadean.notion.site/2-3-Unveiling-the-Universe-s-Hidden-Symmetries-with-Group-Theory-1f91ae7b9a3280f298e5d4e47ffffc81?source=copy_link)

### 🎬Animated result

{% embed url="<https://youtu.be/D9eBfMP-q-U>" %}
Group Fundamentals
{% endembed %}

{% embed url="<https://youtu.be/Vl5xLUsO5yM>" %}
Discrete Groups
{% endembed %}

{% embed url="<https://youtu.be/vDfQ8YuV1zQ>" %}
Lie Groups
{% endembed %}