Representation theory of Lie algebras

In the following documents, we outline some lesser-known results from the representation theory of Lie algebras. Together, these documents constitute Appendix D of my thesis. However, they are separated here for readers interested in individual topics and for ease of reading.

• Real and quaternionic representations
  
• Representations and their duals
• Representations of direct sums (focusing on representations of \(\mathfrak{so}(4)\simeq\mathfrak{sp}(1)\oplus\mathfrak{sp}(1)\))