Let be an affine Weyl group. In 1987 Jian Yi Shi gave a characterization of the elements in terms of -tuples called the Shi vectors. Using these coefficients, a formula is provided to compute the standard length of . In this note we express the twisted affine length function of in terms of the Shi coefficients.
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DOI: 10.5802/crmath.227
Nathan Chapelier-Laget 1
@article{CRMATH_2021__359_7_873_0, 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}, }
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/
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