Short Proofs of Embeddings into Exceptional Groups of Lie Type

Matrix Generators for Exceptional Groups

Matrix Generators for Exceptional Groups of Lie Type

✍ R.B Howlett; L.J Rylands; D.E Taylor 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 337 KB

This paper gives a uniform method of constructing generators for matrix representations of finite groups of Lie type with particular emphasis on the exceptional groups. The algorithm constructs matrices for the action of root elements on the lowest dimension representation of an associated Lie algeb