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Periodic Modules and Quantum Groups |
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| Authors: | |
| Institution: | (1) Département de Mathématique, Université de Cergy–Pontoise, 2 av. A. Chauvin, BP 222, 95302 Cergy–Pontoise Cedex , France |
| Abstract: | We prove that the elements A\leqslant defined by Lusztig in a completion of the periodic module actually live in the periodic module (in the type A case). In order to prove this, we compare, using the Schur duality, these elements with the Kashiwara canonical basis of an integrable module. |
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