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Lifting theorems for tilting complexes

✍ Scribed by Jeremy Rickard

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
570 KB
Volume
142
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

Folded Tilting Complexes for Brauer Tree
Folded Tilting Complexes for Brauer Tree Algebras
✍ Jeremy Rickard; Mary Schaps πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 144 KB

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

Two-Sided Tilting Complexes for Gorenste
Two-Sided Tilting Complexes for Gorenstein Orders
✍ Alexander Zimmerman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 308 KB

Work of J. Rickard proves that the derived module categories of two rings A and B are equivalent as triangulated categories if and only if there is a particular object T, a so-called tilting complex, in the derived category of A such that B is the endomorphism ring of T. The functor inducing the equ