Complex contact Lie groups and generalized complex Heisenberg groups
نویسندگان
چکیده
منابع مشابه
Lie Groups Locally Isomorphic to Generalized Heisenberg Groups
We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group N , there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to N and a union of certain quotients of noncompact Riemannian symmetric spaces.
متن کاملControllability of Affine Systems for the Generalized Heisenberg Lie Groups
Affine control systems on the generalized Heisenberg Lie groups are studied. Controllability of this kind of class of systems on the generalized Heisenberg Lie group is established by relating to their associated bilinear part. AMS Subject Classification: 22E20
متن کاملComplex Geometry and Representations of Lie Groups
Let Z = G/Q be a complex flag manifold and let Go be a real form of G. Then the representation theory of the real reductive Lie group Go is intimately connected with the geometry of Go-orbits on Z. The open orbits correspond to the discrete series representations and their analytic continuations, closed orbits correspond to the principal series, and certain other orbits give the other series of...
متن کاملGerbes on Complex Reductive Lie Groups
Let K be a compact Lie group with complexification G. We construct by geometric methods a conjugation invariant gerbe on G; this then gives by restriction an invariant gerbe on K. Our construction works for any choice of level. When K is simple and simply-connected, the level is just an integer as usual. For general K, the level is a bilinear form b on a Cartan subalgebra where b satisfies a qu...
متن کاملThe Weakly Complex Bordism of Lie Groups
1. Preliminaries. Let X be the class of compact 1 connected semisimple Lie groups; 3C'C3C is the following set of groups, Sp(w), SU(w), Spin(w), G2, F*, EQ, E7, Es, U*(X) the weakly complex bordism of X [ l ] and A the ring U*(pt) = Z[Fi , F2, • • • ]. A is the weakly complex bordism ring defined by Milnor. The generators F,are weakly complex manifolds of dim 2i. The bordism class of a weakly c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2006
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2006.05.010