We give a complete description of all self-injective artin algebras of infinite representation type whose component quiver has no short cycles.
Maciej KARPICZ. "Self-injective artin algebras without short cycles in the component quiver." J. Math. Soc. Japan 68 (1) 51 - 69, January, 2016. https://doi.org/10.2969/jmsj/06810051