Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derived Categories of Nodal Algebras   In 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.

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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys