Add to ORKGThe necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most convenient conditions we obtain correspond to the case of unitary representations. In this case, we give a criterion of global extendability if G is exponential and solvable. 2000 Mathematics Subject Classification: 20M30, 22E99, 43A65. 1. Introduction. I
Fix a finite dimensional semisimple Lie algebra over C, and a Borel subalgebra. It is a long standin...
AbstractThe summary of the main result of this paper is to show that if a bounded Banach space opera...
In this thesis, we investigate various problems in the representation theory of finite groups of Lie...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
With every Lie semi-group, Π, possessing certain regularity properties, there is associated a Lie al...
For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie ...
Abstract. Let T be a representation of an abelian semigroup S on a Ba-nach space X. We identify a ne...
AbstractSophus Lie's third theorem asserts that for every finite dimensional Lie algebra there is a ...
119 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.In this thesis, we apply mode...
119 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.In this thesis, we apply mode...
We establish a criterion for when an abelian extension of infinitedimensional Lie algebras ǧ = g ⊕ωa...
AbstractIn this paper we apply the theory of second-order partial differential operators with nonneg...
AbstractThe semigroup version of Lie's Third Fundamental Theorem asserts that each strictly positive...
Fix a finite dimensional semisimple Lie algebra over C, and a Borel subalgebra. It is a long standin...
AbstractThe summary of the main result of this paper is to show that if a bounded Banach space opera...
In this thesis, we investigate various problems in the representation theory of finite groups of Lie...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
The necessary and sufficient conditions have been obtained for extendability of a Banach representat...
With every Lie semi-group, Π, possessing certain regularity properties, there is associated a Lie al...
For a finite dimensional connected Lie group G with Lie algebra g, we consider a Lie-generating Lie ...
Abstract. Let T be a representation of an abelian semigroup S on a Ba-nach space X. We identify a ne...
AbstractSophus Lie's third theorem asserts that for every finite dimensional Lie algebra there is a ...
119 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.In this thesis, we apply mode...
119 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.In this thesis, we apply mode...
We establish a criterion for when an abelian extension of infinitedimensional Lie algebras ǧ = g ⊕ωa...
AbstractIn this paper we apply the theory of second-order partial differential operators with nonneg...
AbstractThe semigroup version of Lie's Third Fundamental Theorem asserts that each strictly positive...
Fix a finite dimensional semisimple Lie algebra over C, and a Borel subalgebra. It is a long standin...
AbstractThe summary of the main result of this paper is to show that if a bounded Banach space opera...
In this thesis, we investigate various problems in the representation theory of finite groups of Lie...