On the Dimension of Some Modular Irreducible Representations of the Symmetric Group

Olivier Mathieu

Recherche Coopérative sur Programme n°25 (1995)

  • Volume: 47, page 183-191

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Mathieu, Olivier. "On the Dimension of Some Modular Irreducible Representations of the Symmetric Group." Recherche Coopérative sur Programme n°25 47 (1995): 183-191. <http://eudml.org/doc/274915>.

@article{Mathieu1995,
author = {Mathieu, Olivier},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {183-191},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {On the Dimension of Some Modular Irreducible Representations of the Symmetric Group},
url = {http://eudml.org/doc/274915},
volume = {47},
year = {1995},
}

TY - JOUR
AU - Mathieu, Olivier
TI - On the Dimension of Some Modular Irreducible Representations of the Symmetric Group
JO - Recherche Coopérative sur Programme n°25
PY - 1995
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 47
SP - 183
EP - 191
LA - eng
UR - http://eudml.org/doc/274915
ER -

References

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  8. 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. Zbl0830.20064MR1302014
  9. 9. J. Jantzen: Representations of algebraic groups, Academic Press, Orlando (1987). Zbl0654.20039MR899071
  10. 10. A. S. Kleshchev: Branching rules for modular representations of symmetric groups III: some corollaries and a problem of Mullineux. Zbl0854.20014
  11. 11. O. Mathieu: Filtrations of G-modules, Ann. Ecole Norm. Sup.23 (1990) 625-644. Zbl0748.20026MR1072820
  12. 12. C. M. Ringel: The category of good modules over a quasi- hereditary algebra has an almost split sequence, Preprint. Zbl1021.16006MR1206958
  13. 13. E. Verlinde: Fusion rules and modular transformations in 2D conformai field theory, Nucl. Phys. B 300 (1988) 360-375. Zbl1180.81120MR954762
  14. 14. Wang Jian-Pian: Sheaf cohomology on G/B and tensor products of Weyl modules. J. of Algebra77 (1982) 162-185. Zbl0493.20023MR665171
  15. 15. H. Wenzl, Hecke algebras of type An and subfactors, Inv. Math.92 (1988) 349-383. Zbl0663.46055MR936086

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