A q-multinomial expansion of LLT coefficients and plethysm multiplicities

被引:2
|
作者
Iijima, Kazuto [1 ]
机构
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
关键词
COMBINATORIAL FORMULA; POLYNOMIALS;
D O I
10.1016/j.ejc.2013.01.007
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Lascoux, Leclerc and Thibon (1997) [9] introduced a family of symmetric polynomials, called LLT polynomials. We prove a q-multinomial expansion of the coefficients of LLT polynomials in the case where mu = [GRAPHICS] and define a q-analog of a sum of the plethysm multiplicities. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:968 / 986
页数:19
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