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A178176 a(n) is the number of central quotients of simple compact Lie groups of dimension n 1

%I #6 Mar 31 2012 10:22:30

%S 0,0,2,0,0,0,0,2,0,2,0,0,0,1,3,0,0,0,0,0,4,0,0,2,0,0,0,4,0,0,0,0,0,0,

%T 4,4,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,1,0,0,4,0,0,0,0,0,0,0,4,0,0,4,0,0,

%U 0,0,0,0,0,0,0,0,0,6,0,3,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4

%N a(n) is the number of central quotients of simple compact Lie groups of dimension n

%e a(3) = 2 since the 3-dimensional SU(2) has two central quotients: SU(2) and SU(2)/2 = SO(3).

%e The unusually large value a(78) = 6 is due to the simple Lie groups Spin(13), Sp(6), and E_6 each of dimension 78 and each having two central quotients.

%K nonn

%O 1,3

%A _Andrew Rupinski_, Dec 18 2010

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