Affine twisted length function

Nathan Chapelier-Laget

doi:10.5802/crmath.227

Combinatoire, Théorie des groupes

Affine twisted length function

Nathan Chapelier-Laget ¹

¹ Institut Denis Poisson at the University of Tours (CNRS), France.

Comptes Rendus. Mathématique, Volume 359 (2021) no. 7, pp. 873-879.

Résumé

Let $W_{a}$ be an affine Weyl group. In 1987 Jian Yi Shi gave a characterization of the elements $w \in W_{a}$ in terms of $Φ^{+}$ -tuples ${(k (w, α))}_{α \in Φ^{+}}$ called the Shi vectors. Using these coefficients, a formula is provided to compute the standard length of $W_{a}$ . In this note we express the twisted affine length function of $W_{a}$ in terms of the Shi coefficients.

Reçu le : 2021-04-18
Révisé le : 2021-05-18
Accepté le : 2021-05-25
Publié le : 2021-09-17

Zbl

DOI : 10.5802/crmath.227

Affiliations des auteurs :

Nathan Chapelier-Laget ¹

¹ Institut Denis Poisson at the University of Tours (CNRS), France.

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Nathan Chapelier-Laget},
     title = {Affine twisted length function},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {873--879},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {7},
     year = {2021},
     doi = {10.5802/crmath.227},
     zbl = {07398740},
     language = {en},
}

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Nathan Chapelier-Laget. Affine twisted length function. Comptes Rendus. Mathématique, Volume 359 (2021) no. 7, pp. 873-879. doi : 10.5802/crmath.227. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.227/

Bibliographie
Cité par

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