上海工程技术大学学报
上海工程技術大學學報
상해공정기술대학학보
JOURNAL OF SHANGHAI UNIVERSITY OF ENGINEERING SCIENCE
2009年
2期
181-183
,共3页
标准Levi型%广义baby Verma模%极大权向量
標準Levi型%廣義baby Verma模%極大權嚮量
표준Levi형%엄의baby Verma모%겁대권향량
standard Levi form%generalized baby verma modules%maximal weight vectors
研究了素特征域上李代数sl(4,k)表示中广义baby Verma模的不可约性问题.通过判别广义baby Verma模的最高权向量的存在性,给出了正则最高权落在不同室的广义baby Verma模不可约性的判断.
研究瞭素特徵域上李代數sl(4,k)錶示中廣義baby Verma模的不可約性問題.通過判彆廣義baby Verma模的最高權嚮量的存在性,給齣瞭正則最高權落在不同室的廣義baby Verma模不可約性的判斷.
연구료소특정역상리대수sl(4,k)표시중엄의baby Verma모적불가약성문제.통과판별엄의baby Verma모적최고권향량적존재성,급출료정칙최고권락재불동실적엄의baby Verma모불가약성적판단.
The irreducibility of generalized baby Verma modules was studied for sl(4, k) over prime field. By looking for the maximal weight vectors of generalized baby Verma modules, the irreducibility of generalized baby Verma modules was decided for sl(4, k) when the regular highest weight lies in the different alcoves.
