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The representation dimension of Artin algebras

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Abstract

In the seventies of the last century, M. Auslander introduced the notion of representation dimension of an algebra with the objective of having a measure of the complexity of its module category. In the last 20 years, there was a renewal interest in studying such a dimension. Our aim here is to survey the last developments concerning it.

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Authors and Affiliations

  1. Departamento de Matemática-IME, Universidade de São Paulo, Rua do Matão, 1010, São Paulo, SP, 05508-090, Brazil

    Flávio U. Coelho

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  1. Flávio U. Coelho
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Correspondence to Flávio U. Coelho.

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Dedicated to Prof. Antonio Paques on the occasion of his 70th birthday.

The author acknowledge partial support from CNPq (Project PQ 306940/2015-9). During the time this paper was written, the author was enjoying a sabbatical year at the Institute of Advanced Studies of USP (Brazil).

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Coelho, F.U. The representation dimension of Artin algebras. São Paulo J. Math. Sci. 11, 348–360 (2017). https://doi.org/10.1007/s40863-017-0071-y

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