Le modèle des chemins

Olivier Mathieu

Séminaire Bourbaki (1994-1995)

  • Volume: 37, page 209-224
  • ISSN: 0303-1179

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Mathieu, Olivier. "Le modèle des chemins." Séminaire Bourbaki 37 (1994-1995): 209-224. <http://eudml.org/doc/110199>.

@article{Mathieu1994-1995,
author = {Mathieu, Olivier},
journal = {Séminaire Bourbaki},
keywords = {path model; character formula; semisimple Lie algebra},
language = {fre},
pages = {209-224},
publisher = {Société Mathématique de France},
title = {Le modèle des chemins},
url = {http://eudml.org/doc/110199},
volume = {37},
year = {1994-1995},
}

TY - JOUR
AU - Mathieu, Olivier
TI - Le modèle des chemins
JO - Séminaire Bourbaki
PY - 1994-1995
PB - Société Mathématique de France
VL - 37
SP - 209
EP - 224
LA - fre
KW - path model; character formula; semisimple Lie algebra
UR - http://eudml.org/doc/110199
ER -

References

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  1. [D] R. Dehy - Thèse (en préparation). 
  2. [Jo] A. Joseph - Quantum groups and their primitive ideals, Springer-Verlag, 1995. Zbl0808.17004MR1315966
  3. [Hu] J. Humphreys - Introduction to Lie algebras and representation theory, Springer-Verlag, 1968. Zbl0254.17004MR499562
  4. [Kač] V.G. Kac - Infinite dimensional Lie algebras, 3rd edition, Cambridge University Press, 1990. Zbl0716.17022MR1104219
  5. [Kas1] M. Kashiwara - Crystalizing the q-analogue of universal enveloping algebras, Comm. Math. Phys.133 (1990), 249-260. Zbl0724.17009MR1090425
  6. [Kas2] M. Kashiwara - Crystal bases and Littelmann's refined Demazure character formula, RIMS preprint, 1992. MR1357199
  7. [Ku] S. Kumar - Demazure character formula in arbitrary Kač-Moody settings, Invent. Math.89 (1987), 395-423. Zbl0635.14023MR894387
  8. [La] V. Lakshmibai - Demazure modules, preprint, 1994. MR1278733
  9. [LaS] V. Lakshmibai and C.S. Seshadri - Standard monomial theory, Proceedings of Hyderabad Conference on Algebraic groups, 1991. Zbl0785.14028MR1131317
  10. [Li1] P. Littelmann - A Littlewood-Richardson rule for symmetrisable Kač-Moody algebras, Invent. Math.116 (1994), 329-346. Zbl0805.17019MR1253196
  11. [Li2] P. Littelmann - Paths and root operators in representation theory, à paraître aux Ann. of Math. Zbl0858.17023
  12. [Li3] P. Littelmann - A plactic algebra for semi-simple Lie algebras, preprint, 1994. 
  13. [Lu] G. Lusztig - Canonical bases arising from quantized enveloping algebras, II, Prog. Theor. Phys.102 (1990), 175-201. Zbl0776.17012MR1182165
  14. [Ma] O. Mathieu - Formule de caractères pour les algèbres de Kač-Moody générales, Astérisque159-160 (1988). MR980506
  15. [S] Y. Sanderson - Dimension of Demazure modules for rank 2 affine Lie algebras, thèse, à paraître dans Compositio Mathematica. Zbl0873.17021

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