Flagged Grothendieck polynomials

被引：12
|
作者：
Matsumura, Tomoo [1 ]
机构：
[1] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2019年 / 49卷 / 03期
关键词：
Grothendieck polynomials; flagged set-valued tableaux; vexillary permutations; Jacobi-Trudi formula;
D O I：
10.1007/s10801-018-0841-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the flagged Grothendieck polynomials defined as generating functions of flagged set-valued tableaux of Knutson et al. (J Reine Angew Math 630:1-31, 2009) can be expressed by a Jacobi-Trudi-type determinant formula generalizing the work of Hudson-Matsumura (Eur J Comb 70:190-201 2018). We also introduce the flagged skew Grothendieck polynomials in these two expressions and show that they coincide.
引用
收藏
页码：209 / 228
页数：20
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