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Elementary Divisors for Partitions of n = 6

Partition	Specht degree	elementary divisors
(23)	5	[22*3] [23*3]3 [23*32]
(3,2,1)	16	[1]4 [3]4 [3*5]4 [32*5]4
(32)	5	[2] [2*3]3 [22*3]

Known Jantzen Filtrations

Partition	Prime	Jantzen Filtration
(16)	2	[D(6)]4
(16)	3	[D(32)]2
(16)	5	[D(22,12)]1
(2,14)	2	[D(6)]3 +[D(5,1)]4
(2,14)	3	[D(32)]1 +[D(3,2,1)]2
(22,12)	5	[D(22,12)]0 +[D(3,2,1)]1
(23)	2	[D(6)]2 +[D(4,2)]3
(23)	3	[D(3,2,1)]1 +[D(6)]2
(3,13)	3	[D(3,2,1)]1 +[D(4,12)]2
(3,2,1)	3	[D(3,2,1)]0 +[D(32)+D(4,12)+D(6)]1 +[D(5,1)]2
(3,2,1)	5	[D(3,2,1)]0 +[D(4,2)]1
(32)	2	[D(4,2)]1 +[D(6)]2
(32)	3	[D(32)]0 +[D(5,1)]1
(4,12)	3	[D(4,12)]0 +[D(5,1)]1
(4,2)	2	[D(4,2)]0 +[D(6)]1 +[D(5,1)]2
(4,2)	5	[D(4,2)]0 +[D(6)]1
(5,1)	2	[D(5,1)]0 +[D(6)]1
(5,1)	3	[D(5,1)]0 +[D(6)]1

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Last updated: Mon Jul 12 23:23:20 2004 (CET)