The permutation representation of Sp(2m, Fp) acting on the vectors of its standard module

Journal of Algebra

Volumn 241, Issue 2, 2001, Pages 578-591

  Sin, Peter ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035880066     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.2001.8780     Document Type: Article

References (13)

1. Adamovitch A. M. Analogues of spaces of primitive forms over a field of positive characteristic. Moscow Univ. Math. Bull. 39:1984;53-56.
2. Adamovitch A. M. The submodule lattices of Weyl modules for symplectic groups with fundamental highest weights. Moscow Univ. Math. Bull. 41:1986;6-9.
3. p. J. London Math. Soc. 61:2000;58-80.
4. Curtis C. W. Modular representations of finite groups with split BN-pairs. Seminar on Algebraic Groups and Related Finite Groups. Lecture Notes in Mathematics. 131:1969;Springer-Verlag, Berlin. p. 57-95.
5. D. de Caen, and, E. Moorhouse, The p-rank of the Sp(4, p) generalised quadrangle, preprint, 1998.
6. Donkin S. On tilting modules and invariants for algebraic groups. Dlab V., Scott L. L. Representations of Algebras and Related Topics. 1994;59-77 Kluwer Academic, Dordrecht/Boston/London.
7. Hamada N. The rank of the incidence matrix of points and d-flats in finite geometries. J. Sci. Hiroshima Univ. Ser. A-I. 32:1968;381-396.
8. Jantzen J. C. Darstellungen halbeinfacher algebraischer Gruppen un zugeordnete kontravariante Formen. Bonner Math. Schrriften. 67:1973.
9. n. J. Algebra. 140:1991;415-425.
10. MacWilliams F. J., Sloane N. J. A. Theory of Error Correcting Codes. 1977;North-Holland, New York.
11. Steinberg R. Representations of algebraic groups. Nagoya Math. J. 22:1963;33-56.
12. m(P) and their restrictions to subgroups. Siberian Math. J. (4). 31:1990;33-46.
13. Supunenko I. D., Zalesskii A. E. Permutation representations and a fragment of the decomposition matrix of symplectic and special linear groups over a finite field. Siberian Math. J. (4). 31:1990;46-60.