Geodesic
A construction of dual box
Algebra and discrete mathematics, no. 2 (2006), pp. 77-86

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Let $\mathtt{R}$ be a quasi-hereditary algebra, $\mathscr{F}(\Delta)$ and $\mathscr{F}(\nabla)$ its categories of good and cogood modules correspondingly. In [6] these categories were characterized as the categories of representations of some boxes $\mathscr{A}=\mathscr{A}_{\Delta}$ and $\mathscr{A}_{\nabla}$. These last are the box theory counterparts of Ringel duality [8]. We present an implicit construction of the box $\mathscr{B}$ such that $\mathscr{B}-\mathrm{mo}$ is equivalent to $\mathscr{F}(\nabla)$.
Keywords: box, derived category, differential graded category. 
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     author = {Serge Ovsienko},
     title = {A construction of dual box},
     journal = {Algebra and discrete mathematics},
     pages = {77--86},
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     number = {2},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2006_2_a8/}
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Serge Ovsienko. A construction of dual box. Algebra and discrete mathematics, no. 2 (2006), pp. 77-86. http://geodesic.mathdoc.fr/item/ADM_2006_2_a8/