Tilting complexes for group graded self-injective algebras

Andrei Marcus; Shengyong Pan

doi:10.21099/tkbjm/1585706452

Abstract

We construct derived equivalences between group graded self-injective algebras, starting from equivalences between their 1-components, obtained via a construction of J. Rickard and S. Al-Nofayee.

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Andrei Marcus. Shengyong Pan. "Tilting complexes for group graded self-injective algebras." Tsukuba J. Math. 43 (2) 211 - 222, December 2019. https://doi.org/10.21099/tkbjm/1585706452

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Published: December 2019

First available in Project Euclid: 1 April 2020

zbMATH: 07199328

MathSciNet: MR4080792

Digital Object Identifier: 10.21099/tkbjm/1585706452

Subjects:

Primary: 16G10 , 16S10 , 18E30 , 18G15

Keywords: graded derived equivalence , self-injective algebra , strongly graded algebra

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