Browse > Article
http://dx.doi.org/10.4134/BKMS.2004.41.2.359

RADICALS OF A LEFT-SYMMETRIC ALGEBRA ON A NILPOTENT LIE GROUP  

Chang, Kyeong-Soo (Department of Mathematical Sciences, Seoul National University)
Kim, Hyuk (Department of Mathematical Sciences, Seoul National University)
Lee, Hyun-Koo (Department of Mathematical Sciences, Seoul National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.41, no.2, 2004 , pp. 359-369 More about this Journal
Abstract
The purpose of this paper is to compare the radicals of a left symmetric algebra considered in 〔1〕 when the associated Lie algebra is nilpotent. In this case, we show that all the radicals considered there are equal. We also consider some other radicals and show they are also equal.
Keywords
left-symmetric algebra; affine structure; radical; nilpotent Lie group;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 /
[ A.Elduque;H.C.Myung ] / Mutations of alternative algebras
2 On the radical of a left-symmetric algebra /
[ A.Mizuhara ] / Tensor, N. S.
3 Radical d'une algebre symmetrique a gauche /
[ J.Helmstetter ] / Ann. Inst. Fourier(Grenoble)
4 On the radical of a left symmetric algebra Ⅲ /
[ A.Mizuhara ] / Tensor, N. S.
5 /
[ A.A.Sagle;R.E.Walde ] / Introduction to Lie groups and Lie algebras
6 Translations in certain groups of affine motions /
[ J.Scheuneman ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
7 The structure of complete left-symmetric algebras /
[ D.Segal ] / Math. Ann.   DOI
8 The geometry of left-symmetric algebra /
[ H.Kim ] / J. Korean math. Soc.   과학기술학회마을
9 On the symmetric algebras over a nilpotent complex Lie algebra /
[ A.Mizuhara ] / Tensor, N. S.
10 Radicals of a left-symmetric algebra /
[ K.S.Chang;H.Kim;H.C.Myung ] / Comm. Algebra   DOI   ScienceOn
11 Affine manifolds and orbits of algebraic groups /
[ W.Goldman;M.Hirsh ] / Trans. Amer. Math. Soc.   DOI   ScienceOn
12 /
[ Schafer ] / An Introduction to nonassociative algebras
13 On left symmetric algebras over a real nilpotent Lie algebra /
[ A.Mizuhara ] / Tensor, N. S.
14 Complete left-invariant affine structures on nilpotent Lie groups /
[ H.Kim ] / J. Differential Geom.