𝑛-representation-finite algebras and 𝑛-APR tilting

Iyama, Osamu; Oppermann, Steffen

doi:10.1090/S0002-9947-2011-05312-2

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ISSN 1088-6850(online) ISSN 0002-9947(print)

-representation-finite algebras and -APR tilting

Authors: Osamu Iyama and Steffen Oppermann
Journal: Trans. Amer. Math. Soc. 363 (2011), 6575-6614
MSC (2010): Primary 16G10, 16E35
Posted: July 11, 2011
MathSciNet review: 2833569
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Abstract: We introduce the notion of -representation-finiteness, generalizing representation-finite hereditary algebras. We establish the procedure of -APR tilting and show that it preserves -representation-finiteness. We give some combinatorial description of this procedure and use this to completely describe a class of -representation-finite algebras called ``type A''.

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