Hecke algebra characters and quantum chromatic symmetric functions
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چکیده
We evaluate induced sign characters of Hn(q) at certain elements of Hn(q) and conjecture an interpretation for the resulting polynomials as generating functions for P -tableaux by a certain statistic. Our conjecture relates the quantum chromatic symmetric functions of Shareshian and Wachs to Hn(q) characters. Résumé. Nous évaluons les caractères de signe induits de Hn(q) à certains éléments de Hn(q) et nous conjecturons une interprétation des polynômes résultants comme fonctions génératrices pour les tableaux-P par une certaine statistique. Cette conjecture établit un lien entre les fonctions chromatiques symmétriques de Shareshian et Wachs et les caractères de Hn(q).
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تاریخ انتشار 2012