Identifier
- St001756: Finite Cartan types ⟶ ℤ
Values
=>
Cc0022;cc-rep
['A',1]=>1
['A',2]=>3
['B',2]=>4
['G',2]=>6
['A',3]=>16
['B',3]=>36
['C',3]=>36
['A',4]=>125
['B',4]=>512
['C',4]=>512
['D',4]=>312
['F',4]=>2160
['A',5]=>1296
['B',5]=>10000
['C',5]=>10000
['D',5]=>7552
['A',6]=>16807
['B',6]=>248832
['C',6]=>248832
['D',6]=>220800
['E',6]=>798985
['A',7]=>262144
['B',7]=>7529536
['C',7]=>7529536
['D',7]=>7597824
['E',7]=>196800768
['A',8]=>4782969
['C',2]=>4
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Description
The number of minimal subsets of reflections that generate the group.
$~$
This counts the number of minimal subsets $S \subseteq R$ of reflections $R \subseteq W$ that generate the group $W$.
$~$
This counts the number of minimal subsets $S \subseteq R$ of reflections $R \subseteq W$ that generate the group $W$.
Created
Dec 13, 2021 at 14:04 by Dennis Jahn
Updated
Dec 13, 2021 at 14:04 by Dennis Jahn
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