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Identifier
Values
[1] => 0
[1,2] => 0
[2,1] => 1
[1,2,3] => 0
[1,3,2] => 1
[2,1,3] => 1
[2,3,1] => 3
[3,1,2] => 3
[3,2,1] => 4
[1,2,3,4] => 0
[1,2,4,3] => 1
[1,3,2,4] => 1
[1,3,4,2] => 3
[1,4,2,3] => 3
[1,4,3,2] => 4
[2,1,3,4] => 1
[2,1,4,3] => 2
[2,3,1,4] => 3
[2,3,4,1] => 6
[2,4,1,3] => 5
[2,4,3,1] => 7
[3,1,2,4] => 3
[3,1,4,2] => 5
[3,2,1,4] => 4
[3,2,4,1] => 7
[3,4,1,2] => 8
[3,4,2,1] => 9
[4,1,2,3] => 6
[4,1,3,2] => 7
[4,2,1,3] => 7
[4,2,3,1] => 9
[4,3,1,2] => 9
[4,3,2,1] => 10
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Description
The vector space dimension of $Ext_A^1(I_o,A)$ when $I_o$ is the tilting module corresponding to the permutation $o$ in the Auslander algebra $A$ of $K[x]/(x^n)$.
References
[1] Iyama, O., Zhang, X. Classifying τ-tilting modules over the Auslander algebra of $K[x]/(x^n)$ arXiv:1602.05037
Created
Apr 30, 2018 at 17:08 by Rene Marczinzik
Updated
May 02, 2018 at 11:21 by Rene Marczinzik