Parabolic presentations of the Yangian Y (gln)

被引：64

作者：

Brundan, J ^{[1
]}

Kleshchev, A ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2005年 / 254卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00220-004-1249-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce some new presentations for the Yangian associated to the Lie algebra gl(n). These presentations are parametrized by tuples of positive integers summing to n. At one extreme, for the tuple (n), the presentation is the usual RTT presentation of Y-n. At the other extreme, for the tuple (1(n)), the presentation is closely related to Drinfeld's presentation. In general, the presentations are useful for understanding the structure of the standard parabolic subalgebras of Y-n.

引用

页码：191 / 220

页数：30

共 20 条

[1] RTT presentation of finite W-algebras [J].