The determinant of the Gram matrix for a Specht module. (English) Zbl 0417.20012
MSC:
20C30 | Representations of finite symmetric groups |
20C25 | Projective representations and multipliers |
20C05 | Group rings of finite groups and their modules (group-theoretic aspects) |
Keywords:
Specht module; symmetric group module; permutation module; Young subgroup; modular irreducible representation; Gram matrixReferences:
[1] | James, G. D., The irreducible representations of the symmetric groups, Bull. London Math. Soc., 8, 229-232 (1976) · Zbl 0358.20019 |
[2] | James, G. D., On a conjecture of Carter concerning irreducible Specht modules, (Math. Proc. Camb. Phil. Soc., 83 (1978)), 11-17 · Zbl 0385.05027 |
[3] | James, G. D., The Representation Theory of the Symmetric Groups, (Lecture Notes in Mathematics, Vol. 682 (1978), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0393.20009 |
[4] | Nakayama, T., On some modular properties of the irreducible representations of the symmetric groups I, Japan. J. Math., 17, 165-184 (1941) · JFM 67.0977.04 |
[5] | Young, A., On quantitative substitutional analysis, VI, (Proc. London Math. Soc., 31 (1931)), 253-288, (2) · JFM 56.0135.02 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.