The globally irreducible representations of symmetric groups

Proceedings of the American Mathematical Society

Volumn 128, Issue 3, 2000, Pages 647-655

  Kleshchev, Alexander ^a,b   Premet, Alexander ^a  

^a UNIVERSITY OF OREGON   (United States)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

Specht module; Symmetric group

Indexed keywords

EID: 22844454036     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-05418-0     Document Type: Article

References (11)

1. R. W. Carter and M. T. J. Payne, On homomorphisms between Weyl modules and Specht modules, Math. Proc. Camb. Phil. Soc. 87 (1980), 419-425. MR 81h:20048
2. C. W. Curtis and I. Reiner, Representation theory of finite groups and associative algebras, John Wiley and Sons (Interscience), New York, 1962. MR 26:2519
3. W. and F. Ellison, Prime numbers, John Wiley and Sons, Hermann, 1985. MR 8Ta:11082
4. G. D. James, On the decomposition matrices of the symmetric groups, II, J. Algebra 43 (1976), 45-54. MR 55:3057b
5. G. D. James, On a conjecture of Carter concerning irreducible Specht modules. Math. Proc. Camb. Phil. Soc. 83 (1978), 11-17. MR 57:3234
6. G. D. James, The representation theory of the symmetric groups, Springer Lecture Notes 682, Berlin, Heidelberg, New York, 1978. MR 80g:20019
7. G. D. James and G. E. Murphy, The determinant of the Gram matrix for a Specht module. J. Algebra 59 (1979), 222-235. MR 82j:20025
8. P. Ribbenboim, The book of prime number records, Springer-Verlag, New York, Berlin, Heidelberg, 1988.
9. J. G. Thompson, Finite groups and even lattices. J. Algebra 38 (1976), 523-524. MR 53:3108
10. 8(3). In: N. Iwahori (ed.), Finite groups symposium, Japan Soc. for promotion of Science, 1976, pp. 113-116.
11. Pham Huu Tiep, Globally irreducible representations of finite groups and integral lattices, Geometriae Dedicata 64 (1997), 85-123. MR 98e:20011