The center of the affine nilTemperley-Lieb algebra

被引：4

作者：

Benkart, Georgia ^{[1
]}

Meinel, Joanna ^{[2
,3
]}

机构：

[1] Univ Wisconsin Madison, Dept Math, Madison, WI 53706 USA

[2] Univ Bonn, Math Inst, D-53115 Bonn, Germany

[3] Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2016年 / 284卷 / 1-2期

关键词：

SCHUBERT POLYNOMIALS; CANONICAL BASES;

D O I：

10.1007/s00209-016-1660-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a description of the center of the affine nilTemperley-Lieb algebra based on a certain grading of the algebra and on a faithful representation of it on fermionic particle configurations. We present a normal form for monomials, hence construct a basis of the algebra, and use this basis to show that the affine nilTemperley-Lieb algebra is finitely generated over its center. As an application, we obtain a natural embedding of the affine nilTemperley-Lieb algebra on N generators into the affine nilTemperley-Lieb algebra on generators.

引用

页码：413 / 439

页数：27

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