Embedding of $$\mathfrak {sl}_2({\mathbb {C}})$$ sl 2 ( C ) -Modules into Four-Dimensional Power-Associative Zero-Algebra Modules

Bulletin of the Brazilian Mathematical Society, New Series(2022)

引用 2|浏览1
暂无评分
摘要
Using the knowledge about the finite-dimensional irreducible modules over $$\mathfrak {sl}_2({\mathbb {C}})$$ , it is possible to associate for any of them an irreducible module over the four-dimensional zero-algebra on the class of commutative power-associative algebras. This association allows to construct an embedding from the category of $$\mathfrak {sl}_2({\mathbb {C}})$$ -modules into the category of the four-dimensional zero-algebra modules. Furthermore, in this paper it is shown that for any n greater than or equal to two, there exist two non-isomorphic families of irreducible modules of dimension 3n over the commutative power-associative algebra of dimension four and zero multiplication.
更多
查看译文
关键词
Irreducible modules,Power-associative algebras,Embedding,-Modules,17A05,17A60,17B10
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要