Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Finite-dimensional Lie subalgebras of algebras with continuous inversion

100%

Beltiţă D., Neeb K.-H.

Studia Mathematica

2008

tom 185

nr 3

249-262

We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion commute modulo the Jacobson radical.

When unit groups of continuous inverse algebras are regular Lie groups

100%

Glöckner H., Neeb K.-H.

Studia Mathematica

2012

tom 211

nr 2

95-109

It is a basic fact in infinite-dimensional Lie theory that the unit group $A^{×}$ of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group $A^{×}$ is regular in Milnor's sense. Notably, $A^{×}$ is regular if A is Mackey-complete and locally m-convex.

Ograniczanie wyników

2 Studia Mathematica

2 Neeb K.-H.

1 Beltiţă D.

1 Glöckner H.

1 2012

1 2008

Wyniki wyszukiwania

Finite-dimensional Lie subalgebras of algebras with continuous inversion

When unit groups of continuous inverse algebras are regular Lie groups