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An elementary construction of the geometric algebra

✍ Scribed by Alan Macdonald


Publisher
Springer
Year
2002
Tongue
English
Weight
362 KB
Volume
12
Category
Article
ISSN
0188-7009

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An elementary construction of tilting co
✍ Mitsuo Hoshino; Yoshiaki Kato πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 189 KB

Let A be an artin algebra and e ∈ A an idempotent with add(eAA) = add(D(AAe)). Then a projective resolution of AeeAe gives rise to tilting complexes {P(l) β€’ } lΒΏ1 for A, where P(l) β€’ is of term length l + 1. In particular, if A is self-injective, then End K(Mod-A) (P(l) β€’ ) is self-injective and has