Non Complete Affine Connections on Filiform Lie Groups
Remm, Elisabeth ; Goze, Michel
HAL, hal-00122570 / Harvested from HAL
Text on HAL
We give some examples of non-complete invariant affine connections on nilpotent and filiform Lie groups. This permits to describe non-nilpotent faithful representations on the model of filiform n-dimensional Lie algebras and, in particular, on the 3 dimensional Heisenberg algebra.
Publié le : 2000-07-05
Classification:  [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-00122570,
     author = {Remm, Elisabeth and Goze, Michel},
     title = {Non Complete Affine Connections on Filiform Lie Groups},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00122570}
}

Remm, Elisabeth; Goze, Michel. Non Complete Affine Connections on Filiform Lie Groups. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00122570/