Derived Categories of Nodal Algebras

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dc.creatorBurban, Igor
dc.creatorDrozd, Yuriy
dc.date2003-07-04
dc.date.accessioned2026-07-07T04:59:25Z
dc.date.available2026-07-07T04:59:25Z
dc.descriptionIn this article we classify indecomposable objects of the derived categories of finitely-generated modules over certain infinite-dimensional algebras. The considered class of algebras (which we call nodal algebras) contains such well-known algebras as the complete ring of a double nodal point $\kk[[x,y]]/(xy)$ and the completed path algebra of the Gelfand quiver. As a corollary we obtain a description of the derived category of Harish-Chandra modules over $SL_{2}({\mathbb R})$. We also give an algorithm, which allows to construct projective resolutions of indecomposable complexes. In the appendix we prove the Krull-Schmidt theorem for homotopy categories.
dc.identifierhttps://arxiv.org/abs/math/0307060
dc.identifierhttp://arxiv.org/abs/math/0307060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67978
dc.subjectRepresentation Theory
dc.subjectCategory Theory
dc.subject18E30; 16G60
dc.titleDerived Categories of Nodal Algebras
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