On the Dimension of Some Modular Irreducible Representations of the Symmetric Group
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 7, 9 p. 
@article{RCP25_1995__47__183_0,
     author = {Mathieu, Olivier},
     title = {On the {Dimension} of {Some} {Modular} {Irreducible} {Representations} of the {Symmetric} {Group}},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     note = {talk:7},
     pages = {183--191},
     publisher = {Institut de Recherche Math\'ematique Avanc\'ee - Universit\'e Louis Pasteur},
     volume = {47},
     year = {1995},
     language = {en},
     url = {http://archive.numdam.org/item/RCP25_1995__47__183_0/}
}
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Mathieu, Olivier. On the Dimension of Some Modular Irreducible Representations of the Symmetric Group. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Conférences de M. Audin, D. Bernard, A. Bilal, B. Enriquez, E. Frenkel, F. Golse, M. Katz, R. Lawrence, O. Mathieu, P. Von Moerbeke, V. Ovsienko, N. Reshetikhin, S. Theisen, Tome 47 (1995), Exposé no. 7, 9 p. http://archive.numdam.org/item/RCP25_1995__47__183_0/

1. H. H. Andersen: The strong linkage principle. J. Reine Angew Math. 315 (1980) 53-55. | MR | Zbl

2. D. Benson, Modular representations theory: new trends and methods, L. N. Math. 1081, Springer Verlag. | MR | Zbl

3. R. Carter and G. Lusztig, On the general linear and symmetric groups, Math. Z., 136 (1974) 193-242. | MR | Zbl

4. K. Erdmann, Symmetric groups and quasi-hereditary algebras, Representations of algebras and related topics, ed. V. Dlab and L. L. Scott, Kluwer, Dordrecht 1994. | MR | Zbl

5. S. Donkin: Rational representations of algebraic groups. Springer Verlag, Lect. Notes in Math. 1140 (1985). | MR | Zbl

6. S. Donkin, On tilting modules for algebraic groups, Math. Z. 212 (1993) 39-60. | MR | Zbl

7. G. Georgiev and O. Mathieu: Categorie de fusion pour les groupes de Chevalley, Comptes Rendus Acad. Sc. Paris, 315 (1992) 659-662. | MR | Zbl

8. G. Georgiev and O. Mathieu: Fusion rings for modular representations of Chevalley groups, Proceedings of "Math. Aspect of CTFT and Quantum Groups", Mount Holliock, June 1992 (ed. Flato, Lepowsky, Reshetikhin, Sally, Zuckerman). Compt. Math. 175 (1994) 89-100. | MR | Zbl

9. J. Jantzen: Representations of algebraic groups, Academic Press, Orlando (1987). | MR | Zbl

10. A. S. Kleshchev: Branching rules for modular representations of symmetric groups III: some corollaries and a problem of Mullineux. | Zbl

11. O. Mathieu: Filtrations of G-modules, Ann. Ecole Norm. Sup. 23 (1990) 625-644. | Numdam | MR | Zbl

12. C. M. Ringel: The category of good modules over a quasi- hereditary algebra has an almost split sequence, Preprint. | MR | Zbl

13. E. Verlinde: Fusion rules and modular transformations in 2D conformai field theory, Nucl. Phys. B 300 (1988) 360-375. | MR | Zbl

14. Wang Jian-Pian: Sheaf cohomology on G/B and tensor products of Weyl modules. J. of Algebra 77 (1982) 162-185. | MR | Zbl

15. H. Wenzl, Hecke algebras of type An and subfactors, Inv. Math. 92 (1988) 349-383. | MR | Zbl