Journal of Lie Theory

no. 4
Lie Bialgebras on <b>k</b>3 and Lagrange Varieties
Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 639-659
Lie bialgebras on k3 and the corresponding Lagrange varieties are classified by means of a pair of quadratic forms on k4, where k is a field whose characteristic is not 2. It turns out that any Lagrange variety is composed of two (possibly degenerate) quadratic surfaces in kP3 defined by the above quadratic forms respectively.
DOI: 10.5802/jolt.572
Classification: 17B62, 17B66, 53D17
Keywords: Lie bialgebra, Lagrange subalgebra 
@article{JOLT_2009_19_4_a0,
     author = {W. Hong and Z. Liu},
     title = { Lie {Bialgebras} on <b>k</b>\protect\textsuperscript{3} and {Lagrange} {Varieties}},
     journal = {Journal of Lie Theory},
     pages = {639--659},
     year = {2009},
     volume = {19},
     number = {4},
     doi = {10.5802/jolt.572},
     zbl = {1230.17014},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.572/}
}
TY  - JOUR
AU  - W. Hong
AU  - Z. Liu
TI  - Lie Bialgebras on k3 and Lagrange Varieties
JO  - Journal of Lie Theory
PY  - 2009
SP  - 639
EP  - 659
VL  - 19
IS  - 4
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.572/
DO  - 10.5802/jolt.572
ID  - JOLT_2009_19_4_a0
ER  - 
%0 Journal Article
%A W. Hong
%A Z. Liu
%T Lie Bialgebras on k3 and Lagrange Varieties
%J Journal of Lie Theory
%D 2009
%P 639-659
%V 19
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.572/
%R 10.5802/jolt.572
%F JOLT_2009_19_4_a0
W. Hong; Z. Liu. Lie Bialgebras on k3 and Lagrange Varieties. Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 639-659. doi: 10.5802/jolt.572

Cited by Sources: