Combinatorial B-n-analogues of Schubert polynomials

被引:58
作者
Fomin, S [1 ]
Kirillov, AN [1 ]
机构
[1] UNIV TOKYO,DEPT MATH SCI,MEGURO KU,TOKYO 153,JAPAN
关键词
Yang-Baxter equation; Schubert polynomials; symmetric functions;
D O I
10.1090/S0002-9947-96-01558-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Combinatorial B-n-analogues of Schubert polynomials and corresponding symmetric functions are constructed and studied. The development is based on an exponential solution of the type B Yang-Baxter equation that involves the nilCoxeter algebra of the hyperoctahedral group.
引用
收藏
页码:3591 / 3620
页数:30
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