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Folded Tilting Complexes for Brauer Tree Algebras

✍ Scribed by Jeremy Rickard; Mary Schaps

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 144 KB
Volume: 171
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.2001.2064

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✦ Synopsis

We give dual one-sided tilting complexes producing inverse equivalences of the derived category of a Brauer star algebra and a Brauer tree algebra of the same type, folded according to an additional combinatorial structure on the Brauer tree. We relate this to the two-sided two-term tilting complex of Rouquier in the case of a group block, showing that it induces the ''completely folded'' case for each one-sided complex.

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