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.
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页码：413 / 439
页数：27
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