We modify the definition of the completed Iwahori-Hecke algebra given in our previous article (J. Éc. Polytechnique 6, 79–118) and explain why the construction we gave earlier is not correct as such.
Nous modifions la définition de l’algèbre de Hecke complétée donnée dans notre précédent article (J. Éc. Polytechnique 6, 79–118) et expliquons pourquoi la définition que nous avions donnée n’était pas correcte.
Accepted:
Published online:
Keywords: Kac-Moody groups, Hecke algebras, Iwahori-Hecke algebras, local fields
Mot clés : Groupes de Kac-Moody, algèbres de Hecke, algèbres d’Iwahori-Hecke, corps locaux
Ramla Abdellatif 1; Auguste Hébert 2
@article{JEP_2022__9__1293_0, author = {Ramla Abdellatif and Auguste H\'ebert}, title = {Erratum to {{\textquotedblleft}Completed} {Iwahori-Hecke} algebra and parahoric {Hecke} algebras for {Kac-Moody~groups} over local fields{\textquotedblright}}, journal = {Journal de l{\textquoteright}\'Ecole polytechnique {\textemdash} Math\'ematiques}, pages = {1293--1304}, publisher = {\'Ecole polytechnique}, volume = {9}, year = {2022}, doi = {10.5802/jep.206}, language = {en}, url = {https://jep.centre-mersenne.org/articles/10.5802/jep.206/} }
TY - JOUR AU - Ramla Abdellatif AU - Auguste Hébert TI - Erratum to “Completed Iwahori-Hecke algebra and parahoric Hecke algebras for Kac-Moody groups over local fields” JO - Journal de l’École polytechnique — Mathématiques PY - 2022 SP - 1293 EP - 1304 VL - 9 PB - École polytechnique UR - https://jep.centre-mersenne.org/articles/10.5802/jep.206/ DO - 10.5802/jep.206 LA - en ID - JEP_2022__9__1293_0 ER -
%0 Journal Article %A Ramla Abdellatif %A Auguste Hébert %T Erratum to “Completed Iwahori-Hecke algebra and parahoric Hecke algebras for Kac-Moody groups over local fields” %J Journal de l’École polytechnique — Mathématiques %D 2022 %P 1293-1304 %V 9 %I École polytechnique %U https://jep.centre-mersenne.org/articles/10.5802/jep.206/ %R 10.5802/jep.206 %G en %F JEP_2022__9__1293_0
Ramla Abdellatif; Auguste Hébert. Erratum to “Completed Iwahori-Hecke algebra and parahoric Hecke algebras for Kac-Moody groups over local fields”. Journal de l’École polytechnique — Mathématiques, Volume 9 (2022), pp. 1293-1304. doi : 10.5802/jep.206. https://jep.centre-mersenne.org/articles/10.5802/jep.206/
[AH19] - “Completed Iwahori-Hecke algebras and parahoric Hecke algebras for Kac-Moody groups over local fields”, J. Éc. polytech. Math. 6 (2019), p. 79-118 | DOI | Numdam | MR | Zbl
[BK11] - “The spherical Hecke algebra for affine Kac-Moody groups I”, Ann. of Math. (2) 174 (2011) no. 3, p. 1603-1642 | DOI | MR | Zbl
[BKP16] - “Iwahori-Hecke algebras for -adic loop groups”, Invent. Math. 204 (2016) no. 2, p. 347-442 | DOI | MR | Zbl
[BPGR16] - “Iwahori-Hecke algebras for Kac-Moody groups over local fields”, Pacific J. Math. 285 (2016) no. 1, p. 1-61 | DOI | MR | Zbl
[GR14] - “Spherical Hecke algebras for Kac-Moody groups over local fields”, Ann. of Math. (2) 180 (2014) no. 3, p. 1051-1087 | DOI | MR | Zbl
[Kac90] - Infinite-dimensional Lie algebras, Cambridge University Press, Cambridge, 1990 | DOI
[Kum02] - Kac-Moody groups, their flag varieties and representation theory, Progress in Math., vol. 204, Birkhäuser Boston, Inc., Boston, MA, 2002 | DOI
[Loo80] - “Invariant theory for generalized root systems”, Invent. Math. 61 (1980) no. 1, p. 1-32 | DOI | MR | Zbl
[Tit87] - “Uniqueness and presentation of Kac-Moody groups over fields”, J. Algebra 105 (1987) no. 2, p. 542-573 | DOI | MR | Zbl
Cited by Sources: