Finite-dimensional Lie subalgebras of algebras with continuous inversion

Beltita D, Neeb KH (2008)

Publication Type: Journal article, Original article

Publication year: 2008

Journal

Studia Mathematica Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics)

Publisher: Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics)

Book Volume: 185

Pages Range: 249-262

Abstract

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.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

How to cite

APA:

Beltita, D., & Neeb, K.H. (2008). Finite-dimensional Lie subalgebras of algebras with continuous inversion. Studia Mathematica, 185, 249-262.

MLA:

Beltita, Daniel, and Karl Hermann Neeb. "Finite-dimensional Lie subalgebras of algebras with continuous inversion." Studia Mathematica 185 (2008): 249-262.

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