Kazhdan-Lusztig immanants III: Transition matrices between canonical bases of immanants
نویسندگان
چکیده
We study two bases of the vector space of immanants of C[x1,1, . . . , xn,n]: the bitableaux basis of Désarménien-Kung-Rota, and a subset of the dual canonical basis called the basis of Kazhdan-Lusztig immanants. We show that the transition matrix between these bases is unitriangular, describe new vanishing results for the Kazhdan-Lusztig immanants, and relate both bases to other immanants defined in terms of characters of Sn. Résumé. Nous étudions deux bases de l’espace des “immanants” dans C[x1,1, . . . , xn,n]: la base de Désarménien-Kung-Rota, et la base de Kazhdan-Lusztig. Nous montrons que la maitrice de transition entre les deux bases est triangulaire, nous décrivons de nouveaux résultats de disparaition pour les immanants de Kazhdan-Lusztig, et nous rapportons les deux bases á d’autres immanants définis en termes de caractéres de Sn.
منابع مشابه
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