RT Journal Article
T1 Extending invariant complex structures
A1 Campoamor-Stursberg, Rutwig
A1 Cardoso, Isolda E.
A1 Ovando, Gabriela P.
AB We study the problem of extending a complex structure to a given Lie algebra g, which is firstly defined on an ideal h subset of g. We consider the next situations: h is either complex or it is totally real. The next question is to equip g with an additional structure, such as a (non)-definite metric or a symplectic structure and to ask either h is non-degenerate, isotropic, etc. with respect to this structure, by imposing a compatibility assumption. We show that this implies certain constraints on the algebraic structure of g. Constructive examples illustrating this situation are shown, in particular computations in dimension six are given
PB World Scientific
SN 0129-167X
YR 2015
FD 2015-10
LK https://hdl.handle.net/20.500.14352/24248
UL https://hdl.handle.net/20.500.14352/24248
LA eng
NO [1] A. Andrada, M. L. Barberis, I. G. Dotti, G. P. Ovando, Product structures on four dimensional solvable Lie algebras. Homology Homotopy and Applications 7, 9–37 (2005).[2] J. Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Mathematics, 21, 293–329 (1976).[3] V. S. Varadarajan, Lie Groups, Lie Algebras and Their Representations, Springer-Verlag New York, Graduate Texts in Mathematics, 102, (1984).
NO MINECO (Spain)
NO SCyT-UNR
NO CONICET
DS Docta Complutense
RD 16 may 2024