期刊文献+
共找到1篇文章
< 1 >
每页显示 20 50 100
Nijenhuis algebras, NS algebras, and N-dendriform algebras 被引量:2
1
作者 Peng LEI Li GUO 《Frontiers of Mathematics in China》 SCIE CSCD 2012年第5期827-846,共20页
In this paper, we study (associative) Nijenhuis algebras, with emphasis on the relationship between the category of Nijenhuis algebras and the categories of NS algebras and related algebras. This is in analogy to th... In this paper, we study (associative) Nijenhuis algebras, with emphasis on the relationship between the category of Nijenhuis algebras and the categories of NS algebras and related algebras. This is in analogy to the well-known theory of the adjoint functor from the category of Lie algebras to that of associative algebras, and the more recent results on the adjoint functor from the categories of dendriform and tridendriform algebras to that of Rota- Baxter algebras. We first give an explicit construction of free Nijenhuis algebras and then apply it to obtain the universal enveloping Nijenhuis algebra of an NS algebra. We further apply the construction to determine the binary quadratic nonsymmetric algebra, called the N-dendriform algebra, that is compatible with the Nijenhuis algebra. As it turns out, the N-dendriform algebra has more relations than the NS algebra. 展开更多
关键词 Nijenhuis algebras Rota-Baxter algebras dendriform algebras nsalgebras N-dendriform algebras
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部