Distributions Defined by $q$-Supernomials, Fusion Products, and Demazure Modules

[摘要] We prove asymptotic normality of the distributions defined by $q$-supernomials, which implies asymptotic normality of the distributions given by the central string functions and the basic specialization of fusion modules of the current algebra of $\frak{s

[学科分类] 离散数学和组合数学

[关键词] $q$-supernomial;current algebra;affine Kac-Moody algebra;fusion product;Demazure module;basic specialization;asymptotic normality;central limit theorem