Representations on train algebras of rank 3

✍ Scribed by Alicia Labra; Cristián Reyes

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 189 KB
• Volume: 400
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/j.laa.2004.11.014

✦ Synopsis

We give a characterization of the representations on train algebras of rank 3. We prove that the subalgebra of the algebra of endomorphisms of a module generated by the representation of the nil ideal of the algebra is nilpotent. Finally we prove that every irreducible module has dimension one over the field under consideration.