  We consider the dual space of linear groups over Dynkinian and Euclidean
algebras, i.e. finite dimensional algebras derived equivalent to the path
algebra of Dynkin or Euclidean quiver. We prove that this space contains an
open dense subset isomorphic to the product of dual spaces of full linear
groups and, perhaps, one more (explicitly described) space. The proof uses the
technique of bimodule categories, deformations and representations of quivers.
