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广义Witt代数W(2,1)的投射不可分解模和Cartan不变量 被引量:1

Projective Indecomposable Modules and Caftan Invariants of Generalized Witt Algebra W(2,1)
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摘要 研究了特征为2的代数闭域上广义Witt代数W(2,1)的投射不可分解模,给出了特征标高度ht_X■0的所有投射不可分解模同构类的代表元和Cartan不变量.并且进一步讨论了既约包络代数u(W(2,1),X)的表示型. In this note, all projective indecomposable modules over generalized Witt algebra W(2, 1) with character height 〈 0 in characteristic 2 are realized, and all related Cartan invariants are computed. Furthermore, we discuss the representation type of the reduced enveloping algebra u(W(2, 1), χ).
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2008年第5期933-946,共14页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10671142) 国家教委博士点专项基金资助项目(20040247024)
关键词 既约包络代数 CARTAN不变量 本原幂等元 投射不可分解模 reduced enveloping algebra Cartan invariant primitive idempotent projective indecomposable module
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