Flag Varieties and the Yang-Baxter Equation

被引：0
|
作者：
ALAIN LASCOUX
BERNARD LECLERC
JEAN-YVES THIBON
机构：
[1] Université Paris 7,Institute Blaise Pascal, LITP
[2] Université de Caen,D de Mathématiques
[3] Université de Marne-la-valée,Institut Gaspard Monge
来源：
Letters in Mathematical Physics | 1997年 / 40卷
关键词：
Yang-Baxter equation; Schubert polynominals; Hecke algebra.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate certain bases of Hecke algebras defined by means of theYang–Baxter equation, which we call Yang–Baxter bases. These bases areessentially self-adjoint with respect to a canonical bilinear form. In thecase of the degenerate Hecke algebra, we identify the coefficients in theexpansion of the Yang–Baxter basis on the usual basis of the algebra withspecializations of double Schubert polynomials. We also describe theexpansions associated to other specializations of the generic Heckealgebra.
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页码：75 / 90
页数：15
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