Geodesic
On the dimension of Kirichenko space
Algebra and discrete mathematics, no. 2 (2006), pp. 87-126

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We introduce a notion of the Kirichenko space which is connected with the notion of Gorenstein matrix (see [2], ch. 14). Every element of Kirichenko space is an $n\times n$ matrix, whose elements are solutions of the equations $a_{i,j}+a_{j,\sigma (i)} =a_{i,\sigma(i)}$; $a_{1,i}=0$ for $i,j =1,\ldots, n$ determined by a permutation $\sigma$ which has no cycles of the length 1. We give a formula for the dimension of this space in terms of the cyclic type of $\sigma$.
Keywords: box, derived category, differential graded category. 
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     author = {Makar Plakhotnyk},
     title = {On the dimension of {Kirichenko} space},
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Makar Plakhotnyk. On the dimension of Kirichenko space. Algebra and discrete mathematics, no. 2 (2006), pp. 87-126. http://geodesic.mathdoc.fr/item/ADM_2006_2_a9/