6533b81ffe1ef96bd1279082

RESEARCH PRODUCT

COMPLEX STRUCTURES ON INDECOMPOSABLE 6-DIMENSIONAL NILPOTENT REAL LIE ALGEBRAS

Louis Magnin

subject

General MathematicsSimple Lie groupReal formMathematics - Rings and Algebras17B30Killing formAffine Lie algebraLie conformal algebraGraded Lie algebraAlgebra53C15Adjoint representation of a Lie algebraRepresentation of a Lie groupRings and Algebras (math.RA)FOS: Mathematics17B30;53C15Mathematics

description

We compute all complex structures on indecomposable 6-dimensional real Lie algebras and their equivalence classes. We also give for each of them a global holomorphic chart on the connected simply connected Lie group associated to the real Lie algebra and write down the multiplication in that chart.

https://doi.org/10.1142/s0218196707003500