Quotient triangulated categories

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dc.creatorChen, Xiao-Wu
dc.creatorZhang, Pu
dc.date2006-01-20
dc.date2007-03-31
dc.date.accessioned2026-07-07T10:03:48Z
dc.date.available2026-07-07T10:03:48Z
dc.descriptionFor a self-orthogonal module $T$, the relation between the quotient triangulated category $D^b(A)/K^b({\rm add} T)$ and the stable category of the Frobenius category of $T$-Cohen-Macaulay modules is investigated. In particular, for a Gorenstein algebra, we get a relative version of the description of the singularity category due to Happel. Also, the derived category of a Gorenstein algebra is explicitly given, inside the stable category of the graded module category of the corresponding trivial extension algebra, via Happel's functor $F: D^b(A) \longrightarrow T(A)^{\mathbb{Z}}{-}\underline{\rm mod}$.
dc.description14 pages. Manu. Math., to appear
dc.identifierhttps://arxiv.org/abs/math/0601489
dc.identifierhttp://arxiv.org/abs/math/0601489
dc.identifierManuscripta Mathematica, 123 (2007), 167-183
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169429
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.titleQuotient triangulated categories
dc.typetext

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