Filtrations and tilting modules

Henning Haahr Andersen

Annales scientifiques de l'École Normale Supérieure (1997)

  • Volume: 30, Issue: 3, page 353-366
  • ISSN: 0012-9593

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Andersen, Henning Haahr. "Filtrations and tilting modules." Annales scientifiques de l'École Normale Supérieure 30.3 (1997): 353-366. <http://eudml.org/doc/82435>.

@article{Andersen1997,
author = {Andersen, Henning Haahr},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {quantum groups; tilting modules; Jantzen filtration},
language = {eng},
number = {3},
pages = {353-366},
publisher = {Elsevier},
title = {Filtrations and tilting modules},
url = {http://eudml.org/doc/82435},
volume = {30},
year = {1997},
}

TY - JOUR
AU - Andersen, Henning Haahr
TI - Filtrations and tilting modules
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1997
PB - Elsevier
VL - 30
IS - 3
SP - 353
EP - 366
LA - eng
KW - quantum groups; tilting modules; Jantzen filtration
UR - http://eudml.org/doc/82435
ER -

References

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  1. [APW] H. H. ANDERSEN, P. POLO and W. KEXIN, Representations of quantum algebras (Invent. Math., Vol. 104, 1991, pp. 1-59). Zbl0724.17012MR92e:17011
  2. [AJS] H. H. ANDERSEN, J. C. JANTZEN and W. SOERGEL, Representations of quantum groups at a p-th root of unity and of semisimple groups in characteristic p : Independence of p (Astérisque, Vol. 220, 1994, pp. 1-320). Zbl0802.17009MR95j:20036
  3. [An] H. H. ANDERSEN, Tensor products of quantized tilting modules (Commun. Math. Phys., Vol. 149, 1992, pp. 149-159). Zbl0760.17004MR94b:17015
  4. [Ar] S.M. ARKHIPOV, Semiinfinite cohomology of associative algebras and bar duality q-alg/9602013. 
  5. [Do] S. DONKIN, On tilting modules for algebraic groups (Math. Z., Vol. 212, 1993, pp. 39-60). Zbl0798.20035MR94b:20045
  6. [Ja] J. C. JANTZEN, Representations of algebraic groups, Academic Press 1987. Zbl0654.20039MR89c:20001
  7. [KL1] KAZHDAN and G. LUSZTIG, Representations of Coxeter groups and Hecke algebras (Inventiones, Vol. 53, 1979, pp. 165-184). Zbl0499.20035MR81j:20066
  8. [KL2] D. KAZHDAN and G. LUSZTIG, Tensor structures arising from affine Lie algebras I-IV (J. Amer. Math. Soc., Vol. 6, 1994, pp. 905-947, 949-1011 and Vol. 7, 1994, pp. 335-381, 383-453). Zbl0802.17008
  9. [Lu] G. LUSZTIG, Quantum groups at roots of 1 (Geom. Ded., Vol. 35, 1993, pp. 89-114). Zbl0714.17013MR91j:17018
  10. [Ma] O. MATHIEU, On the dimension of some modular irreducible representations of the symmetric group (Lett. Math. Phys., Vol. 38, 1996, pp. 23-32). Zbl0855.20010MR97f:20017
  11. [So1] W. SOERGEL, Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln, Represent. Theory 1, 1997 (to appear). Zbl0886.05124
  12. [So2] W. SOERGEL, Characterformels für Kipp-Modules über Kac-Moody-Algebren, Preprint, Universität Freiburg, December 1996. 

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