Results 331 to 340 of about 15,318,133 (354)
Some of the next articles are maybe not open access.
The Automorphism Group of a Lie Group
Transactions of the American Mathematical Society, 1952Introduction. The group A (G) of all continuous and open automorphisms of a locally compact topological group G may be regarded as a topological group, the topology being defined in the usual fashion from the compact and the open subsets of G (see ?1). In general, this topological structure of A (G) is somewhat pathological.
openaire +2 more sources
Reports on Mathematical Physics, 1997
The author outlines an idea of giving an axiomatic formulation of the theory of Lie groups based on the properties of the family of continuous one-parameter subgroups.
openaire +3 more sources
The author outlines an idea of giving an axiomatic formulation of the theory of Lie groups based on the properties of the family of continuous one-parameter subgroups.
openaire +3 more sources
Consistent EKF-Based Visual-Inertial Odometry on Matrix Lie Group
IEEE Sensors Journal, 2018Se-jong Heo, Chan Gook Park
semanticscholar +1 more source
2009
We restrict ourselves to the study of linear Lie groups, that is, to closed subgroups of GL(n,ℝ), for an integer n, in other words, to groups of real matrices. We adopt the convention, introduced in Chapter 1, of calling such a group simply a Lie group. We shall show that to each Lie group there corresponds a Lie algebra.
Stephanie Frank Singer +1 more
openaire +2 more sources
We restrict ourselves to the study of linear Lie groups, that is, to closed subgroups of GL(n,ℝ), for an integer n, in other words, to groups of real matrices. We adopt the convention, introduced in Chapter 1, of calling such a group simply a Lie group. We shall show that to each Lie group there corresponds a Lie algebra.
Stephanie Frank Singer +1 more
openaire +2 more sources
A Lie Algebra Approach to Lie Group Time Integration of Constrained Systems
, 2016M. Arnold, A. Cardona, O. Bruls
semanticscholar +1 more source
High-Order Symplectic Partitioned Lie Group Methods
Foundations of Computational Mathematics, 2013Geir Bogfjellmo, Håkon Marthinsen
semanticscholar +1 more source
1994
In various fields of geometry and applications object that simultaneously carry the structure of a group and a structure of a smooth manifold occur. These objects are called Lie groups provided that the group operations are smooth. As a rule, Lie groups that occur in applications have nontrivial topological structure.
openaire +2 more sources
In various fields of geometry and applications object that simultaneously carry the structure of a group and a structure of a smooth manifold occur. These objects are called Lie groups provided that the group operations are smooth. As a rule, Lie groups that occur in applications have nontrivial topological structure.
openaire +2 more sources
Lie Groups and Their Lie Algebras
2003In this chapter we apply the tools developed in Chapters 17–19 (flows, Lie derivatives, and foliations) to delve deeper into the relationships between Lie groups and Lie algebras.
openaire +2 more sources