Zobrazeno 1 - 5
of 5
pro vyhledávání: '"17B, 53C"'
Autor:
Ghanam, Ryad, Thompson, G.
We obtain minimal dimension matrix representations for each indecomposable five-dimensional Lie algebra over $\R$ and justify in each case that they are minimal. In each case a matrix Lie group is given whose matrix Lie algebra provides the required
Externí odkaz:
http://arxiv.org/abs/1402.4879
Autor:
Kang, Yi-Fang, Bai, Cheng-Ming
Publikováno v:
Communications in Algebra 36 (2008) 82-93
In this paper, we construct a faithful representation with the lowest dimension for every complex Lie algebra in dimension $\leq 4$. In particular, in our construction, in the case that the faithful representation has the same dimension of the Lie al
Externí odkaz:
http://arxiv.org/abs/0711.3836
Autor:
Bai, Chengming
Publikováno v:
Communications in Contemporary Mathematics 10 (2008) 221-260
We introduce a notion of left-symmetric bialgebra which is an analogue of the notion of Lie bialgebra. We prove that a left-symmetric bialgebra is equivalent to a symplectic Lie algebra with a decomposition into a direct sum of the underlying vector
Externí odkaz:
http://arxiv.org/abs/0708.1551
Autor:
Chengming Bai
We introduce a notion of left-symmetric bialgebra which is an analogue of the notion of Lie bialgebra. We prove that a left-symmetric bialgebra is equivalent to a symplectic Lie algebra with a decomposition into a direct sum of the underlying vector
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d11808e0958aff494bb66a8b7c4d859f
Autor:
Yi-Fang Kang, Chengming Bai
In this paper, we construct a faithful representation with the lowest dimension for every complex Lie algebra in dimension $\leq 4$. In particular, in our construction, in the case that the faithful representation has the same dimension of the Lie al
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0eb3afc5657f30fc651889ad73cf20e5