Identifier
- St001168: Permutations ⟶ ℤ (values match St000342The cosine of a permutation.)
Values
=>
[1,2]=>5
[2,1]=>4
[1,2,3]=>14
[1,3,2]=>13
[2,1,3]=>13
[2,3,1]=>11
[3,1,2]=>11
[3,2,1]=>10
[1,2,4,3]=>29
[1,3,2,4]=>29
[1,3,4,2]=>27
[1,4,2,3]=>27
[1,4,3,2]=>26
[2,1,3,4]=>29
[2,1,4,3]=>28
[2,3,1,4]=>27
[2,3,4,1]=>24
[2,4,1,3]=>25
[2,4,3,1]=>23
[3,1,2,4]=>27
[3,1,4,2]=>25
[3,2,1,4]=>26
[3,2,4,1]=>23
[3,4,1,2]=>22
[3,4,2,1]=>21
[4,1,2,3]=>24
[4,1,3,2]=>23
[4,2,1,3]=>23
[4,2,3,1]=>21
[4,3,1,2]=>21
[4,3,2,1]=>20
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Description
The vector space dimension of the tilting module corresponding to the permutation in the Auslander algebra 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 23:58 by Rene Marczinzik
Updated
Apr 30, 2018 at 23:58 by Rene Marczinzik
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