Journal of Lie Theory

no. 4
Lie Bialgebras on <b>k</b>3 and Lagrange Varieties
Wei Hong1; Zhangju Liu1
1Dept. of Mathematics and LMAM, Beijing University, Beijing 100871, China
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

Wei Hong  1 ; Zhangju Liu  1

1 Dept. of Mathematics and LMAM, Beijing University, Beijing 100871, China 
Wei Hong; Zhangju 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
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     author = {Wei Hong and Zhangju 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},
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