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arXiv · 2208.03464

Rigidity degrees of indecomposable modules over representation-finite self-injective algebras

Wei Hu·Xiaojuan Yin
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Abstract

The rigidity degree of a generator-cogenerator determines the dominant dimension of its endomorphism algebra, and is closely related to a recently introduced homological dimension -- rigidity dimension. In this paper, we give explicit formulae for the rigidity degrees of all indecomposable modules over representation-finite self-injective algebras by developing combinatorial methods from the Euclidean algorithm. As an application, the rigidity dimensions of some algebras of types $A$ and $E$ are given.

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BibTeXRIS

Wei Hu, Xiaojuan Yin. 2022-08-06. Rigidity degrees of indecomposable modules over representation-finite self-injective algebras. https://arxiv.org/abs/2208.03464

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