From this question, we have some non-matrix Lie groups, but all of them are real Lie groups, is there a non-matrix complex Lie group? Or a complex Lie group which is not a linear algebraic group?
2026-03-25 02:59:11.1774407551
Is there a non-matrix complex Lie groups?
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Take an elliptic curve over the complex numbers. It is a complex Lie group, however it can not be a matrix Lie group because any matrix Lie group is affine and elliptic curves are projective.