Frank Lübeck |
Elementary Divisors for Partitions of n = 27
Partition | Specht degree | elementary divisors |
---|---|---|
(23,121) | 2574 | [220*310*54*73*11*13*17*19] [220*310*56*73*11*13*17*19]24 [220*311*56*73*11*13*17*19] [222*311*56*73*11*13*17*19]298 [222*311*56*73*11*13*17*19*23]2250 |
(3,2,122) | 5175 | [219*39*54*73*112*13*17*19]25 [219*310*54*73*112*13*17*19]298 [219*310*54*73*112*132*17*19] [221*310*54*73*112*132*17*19] [223*310*54*73*112*132*17*19]2550 [223*311*54*73*112*132*17*19]2300 |
(24,2,1) | 5175 | [1]2300 [3]2550 [22*3] [24*3] [24*3*13]298 [24*32*13]25 |
(24,3) | 2574 | [1]2250 [23]298 [22*23] [22*3*23]24 [22*3*52*23] |
Known Jantzen Filtrations
Partition | Prime | Jantzen Filtration |
---|---|---|
(2,125) | 17 | [D(210,17)]1 |
(2,125) | 19 | [D(28,111)]1 |
(2,125) | 23 | [D(24,119)]1 |
(22,123) | 17 | [D(29,19)]1 |
(22,123) | 19 | [D(27,113)]1 |
(22,123) | 23 | [D(23,121)]1 |
(23,121) | 17 | [D(28,111)]1 |
(23,121) | 19 | [D(26,115)]1 |
(23,121) | 23 | [D(23,121)]0 +[D(33,118)]1 |
(3,124) | 17 | [D(3,28,18)]1 |
(3,124) | 19 | [D(3,26,112)]1 |
(3,124) | 23 | [D(3,22,120)]1 |
(3,2,122) | 17 | [D(3,27,110)]1 |
(3,2,122) | 19 | [D(3,25,114)]1 |
(4,123) | 17 | [D(4,27,19)]1 |
(4,123) | 19 | [D(4,25,113)]1 |
(4,123) | 23 | [D(4,2,121)]1 |
(24,3) | 23 | [D(24,3)]0 +[D(25,2)]1 |
Last updated: Mon Jul 12 23:23:20 2004 (CET)