仿射Schur代数SΔ(2，3）Q的生成元与关系式

The generators and relations for affine Schur algebra SΔ(2,3)Q

摘要:

利用从普遍包络代数到仿射Schur代数之间的关系,给出了仿射Schur代数SΔ(2，3)Q的表现,即生成元与关系式.这个表现是通过在普遍包络代数的表现上额外增加一些关系式得到的.

关键词:仿射Schur代数; 普遍包络代数; 三角分解; 圈代数

Abstract:

Based on the relations between the universal enveloping algebras and affine Schur algebras, we provide a presentation for SΔ(2，3)Q in terms of generators and relations in this paper.This presentation is obtained by adding more relations to the presentation of the universal enveloping algebra.

Key words:affine Schur algebra; universal enveloping algebra; triangular decomposition; loop algebra