当前位置: X-MOL 学术Sib. Math. J. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
On the Right-Symmetric Algebras with a Unital Matrix Subalgebra
Siberian Mathematical Journal ( IF 0.5 ) Pub Date : 2021-01-29 , DOI: 10.1134/s0037446621010158
A. P. Pozhidaev , I. P. Shestakov

Under study are the right-symmetric algebras over a field \( F \) which possess a “unital” matrix subalgebra \( M_{n}(F) \). We classify all these finite-dimensional right-symmetric algebras \( {\mathcal{A}}=W\oplus M_{2}(F) \) in the case when \( W \) is an irreducible module over \( sl_{2}(F) \).



中文翻译:

关于a矩阵子代数的右对称代数

正在研究中的是场\(F \)上的右对称代数,该场  具有“单位”矩阵子代数 \(M_ {n}(F)\)。我们将所有这些有限维右对称代数\({\ mathcal {A}} = W \ oplus M_ {2}(F)\)分类为 \(W \)是 \(sl_ {2}(F)\)

更新日期:2021-01-29
down
wechat
bug