HOMOGENIZED SL(2)

被引：31

作者：

LEBRUYN, L ^{[1
]}

SMITH, SP ^{[1
]}

机构：

[1] UNIV WASHINGTON,DEPT MATH,SEATTLE,WA 98195

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 03期

关键词：

D O I：

10.1090/S0002-9939-1993-1136235-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note studies a special case of Artin's projective geometry (Geometry of quantum planes, MIT, preprint, 1990) for noncommutative graded algebras. It is shown that (most of) the line modules over the homogenization of the enveloping algebra U(sl(2, C)) are in bijection with the lines lying on the quadrics that are the (closures of the) conjugacy classes in sl(2, C) . Furthermore, these line modules are the homogenization of the Verma modules for sl(2, C).

引用

页码：725 / 730

页数：6