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Tilting-Connected Symmetric Algebras

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Abstract

The notion of silting mutation was introduced by Iyama and the author. In this paper we mainly study silting mutation for self-injective algebras and prove that any representation-finite symmetric algebra is tilting-connected. Moreover we give some sufficient conditions for a Bongartz-type Lemma to hold for silting objects.

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  1. Division of Mathematical Science and Physics, Graduate School of Science and Technology, Chiba University, Yayoi-cho, Chiba, 263-8522, Japan

    Takuma Aihara

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  1. Takuma Aihara
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Correspondence to Takuma Aihara.

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Aihara, T. Tilting-Connected Symmetric Algebras. Algebr Represent Theor 16, 873–894 (2013). https://doi.org/10.1007/s10468-012-9337-3

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  • DOI: https://doi.org/10.1007/s10468-012-9337-3

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