A PROBABILISTIC METHOD FOR THE NUMBER OF STANDARD IMMACULATE TABLEAUX

作     者：Sun, Brian Y. Hu, Yingying 

作者机构：Northeast Normal Univ Sch Math & Stat Changchun 130024 Jilin Peoples R China Northeast Normal Univ KLAS Changchun 130024 Jilin Peoples R China Xinjiang Univ Dept Math & Syst Sci Urumqi 830046 Peoples R China 

出 版 物：《ROCKY MOUNTAIN JOURNAL OF MATHEMATICS》 (Rocky Mt. J. Math.)

年 卷 期：2018年第48卷第6期

页      面：2087-2097页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Science Foundation of China [11701491, 11726629, 11726630] China Postdoctoral Science Foundation [2017M621188] Scientific Research Initiative Foundation of Xinjiang University for Graduated Ph.D. Students [BS160206] 

主　　题：Hook-length formula immaculate tableau probabilistic methods compositions non-commutative symmetric functions 

摘      要：In this paper, along the spirit of Greene, Nijenhuis and Wilf s probabilistic method for the classical hook-length formula for standard Young tableaux, we present a probabilistic proof of the hook-length formula for standard immaculate tableaux, which arose in the study of non-commutative symmetric functions.