Lie Group Structures on Quotient Groups and Universal Complexifications for Infinite-Dimensional Lie Groups

By Helge Glöckner. 2002

99 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a83e4d835c2dd8dda6b55e9023d62bdf3ab89423

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Hamza Alzaareer
2. Alexander Schmeding
3. Helge Glöckner
4. Karl-Hermann Neeb

In Mathematical Physics

1. Hamza Alzaareer
2. Alexander Schmeding
3. Helge Glöckner
4. Karl-Hermann Neeb
5. W. Bertram

In Statistical and Nonlinear Physics

1. Hamza Alzaareer
2. Alexander Schmeding
3. Helge Glöckner

Citations in the corpus

• Fundamentals of direct limit Lie theory (2004, background): “Universal complexifications of “linear” direct limit groups G ⊆ GL∞(R) have been discussed in [8], in the framework of BCH-Lie groups.”
• Differentiable mappings on products with different degrees of differentiability in the two factors (2012, background): “(a) Using Theorem B, one can show that the test function group C c (M,H) (as in [12]) is C-regular, for each σ-compact finite-dimensional smooth manifold M and C-regular Lie group H (see [17, p.”