Frank Lübeck |
Elementary Divisors for Partitions of n = 25
Partition | Specht degree | elementary divisors |
---|---|---|
(23,119) | 2000 | [218*39*53*72*11*13*17*19] [218*39*53*72*11*13*17*19*23]23 [218*39*53*72*112*13*17*19*23]250 [218*310*53*72*112*13*17*19*23] [218*310*53*73*112*13*17*19*23]1725 |
(24,117) | 10350 | [220*38*53*72*11*13*17] [220*38*53*72*112*13*17]23 [220*38*53*73*112*13*17]250 [221*38*53*73*112*13*17] [221*38*54*73*112*13*17]1725 [221*38*54*73*112*13*17*19]8350 |
(3,2,120) | 4025 | [218*38*54*72*11*13*17*19]274 [220*39*54*72*11*13*17*19] [222*39*54*72*11*13*17*19] [222*39*54*72*112*13*17*19]1725 [222*310*54*72*112*13*17*19]2024 |
(21,4) | 10350 | [1]8350 [19]1725 [5*19] [2*5*19]250 [2*5*7*19]23 [2*5*7*11*19] |
(22,2,1) | 4025 | [1]2024 [3]1725 [3*11] [22*3*11] [24*32*11]274 |
(22,3) | 2000 | [1]1725 [7] [3*7]250 [3*7*11]23 [3*7*11*23] |
Known Jantzen Filtrations
Partition | Prime | Jantzen Filtration |
---|---|---|
(2,123) | 13 | [D(212,1)]1 |
(2,123) | 17 | [D(28,19)]1 |
(2,123) | 19 | [D(26,113)]1 |
(2,123) | 23 | [D(22,121)]1 |
(22,121) | 13 | [D(211,13)]1 |
(22,121) | 17 | [D(27,111)]1 |
(22,121) | 19 | [D(25,115)]1 |
(22,121) | 23 | [D(22,121)]0 +[D(32,119)]1 |
(23,119) | 13 | [D(210,15)]1 |
(23,119) | 17 | [D(26,113)]1 |
(23,119) | 19 | [D(24,117)]1 |
(23,119) | 23 | [D(23,119)]0 +[D(3,22,118)]1 |
(3,122) | 13 | [D(3,210,12)]1 |
(3,122) | 17 | [D(3,26,110)]1 |
(3,122) | 19 | [D(3,24,114)]1 |
(3,2,120) | 13 | [D(3,29,14)]1 |
(3,2,120) | 17 | [D(3,25,112)]1 |
(3,2,120) | 19 | [D(3,23,116)]1 |
(4,121) | 13 | [D(4,29,13)]1 |
(4,121) | 17 | [D(4,25,111)]1 |
(4,121) | 19 | [D(4,23,115)]1 |
(22,3) | 23 | [D(22,3)]0 +[D(25)]1 |
(23,2) | 23 | [D(23,2)]0 +[D(24,1)]1 |
Last updated: Mon Jul 12 23:23:20 2004 (CET)