Subspace categories as categories of good modules over quasi-hereditary algebras (Q1841997)
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scientific article; zbMATH DE number 743512
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subspace categories as categories of good modules over quasi-hereditary algebras |
scientific article; zbMATH DE number 743512 |
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Subspace categories as categories of good modules over quasi-hereditary algebras (English)
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18 April 1995
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Let \(({\mathcal K},|-|)\) be a finite directed vectorspace category. In the paper, an equivalence between the corresponding subspace category and the category of good modules over some quasi-hereditary algebra is given. As a consequence, the subspace category is determined by a (generalized) tilting/cotilting module, which is constructed explicitly. This generalizes a result by \textit{C. M. Ringel} [Tame algebras and integral quadratic forms (Lect. Notes Math. 1099, 1984; Zbl 0546.16013)].
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finite directed vectorspace categories
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equivalences
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categories of good modules
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quasi-hereditary algebras
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tilting modules
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cotilting modules
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