Identifier
- St001207: Permutations ⟶ ℤ
Values
=>
[1,2]=>0
[2,1]=>1
[1,2,3]=>0
[1,3,2]=>1
[2,1,3]=>1
[2,3,1]=>2
[3,1,2]=>2
[3,2,1]=>2
[1,2,3,4]=>0
[1,2,4,3]=>1
[1,3,2,4]=>1
[1,3,4,2]=>2
[1,4,2,3]=>2
[1,4,3,2]=>2
[2,1,3,4]=>1
[2,1,4,3]=>1
[2,3,1,4]=>2
[2,3,4,1]=>3
[2,4,1,3]=>2
[2,4,3,1]=>3
[3,1,2,4]=>2
[3,1,4,2]=>2
[3,2,1,4]=>2
[3,2,4,1]=>3
[3,4,1,2]=>3
[3,4,2,1]=>3
[4,1,2,3]=>3
[4,1,3,2]=>3
[4,2,1,3]=>3
[4,2,3,1]=>3
[4,3,1,2]=>3
[4,3,2,1]=>3
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Description
The Lowey length of the algebra $A/T$ when $T$ is the 1-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
May 24, 2018 at 13:02 by Rene Marczinzik
Updated
May 24, 2018 at 13:02 by Rene Marczinzik
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