Results 81 to 90 of about 2,128,372 (188)

Notes on Lie algebras and Lie groups [PDF]

arXiv, 2004
These notes deal with a few aspects of Lie algebras and Lie groups, including some matters related to exponentiation.
arxiv  

Left-invariant Lorentzian metrics on 3-dimensional Lie groups [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1997
We find the Riemann curvature tensors of all left-invariant Lorentzian metrics on 3-dimensional Lie groups.
Luis A. Cordero, Phillip E. Parker
doaj  

The Plancherel formula for complex semisimple Lie groups [PDF]

, 1954
Harish-chandra Harish-Chandra
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Sur les représentations induites des groupes de Lie [PDF]

, 1956
François Bruhat
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The existence of a vector of weight 0 in irreducible Lie groups without centre [PDF]

, 1956
Hans Freudenthal
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Structure of Symplectic Lie groups and momentum map [PDF]

arXiv, 2009
We describe the structure of the Lie groups endowed with a left-invariant symplectic form, called symplectic Lie groups, in terms of semi-direct products of Lie groups, symplectic reduction and principal bundles with affine fiber. This description is particularly nice if the group is Hamiltonian, that is, if the left canonical action of the group on ...
arxiv  

Hypermaximality of Certain Operators on Lie Groups [PDF]

, 1952
I. E. Segal
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Uniform rank metric stability of Lie algebras, Lie groups and lattices [PDF]

arXiv
We study uniform stability of discrete groups, Lie groups and Lie algebras in the rank metric, and the connections between uniform stability of these objects. We prove that semisimple Lie algebras are far from being flexibly $\mathbb{C}$-stable, and that semisimple Lie groups and lattices in semisimple Lie groups of higher rank are not strictly ...
arxiv  

The group structure for jet bundles over Lie groups [PDF]

Journal of Lie Theory 23 (2013) 885-897, 2013
The jet bundle $J^kG$ of $k$-jets of curves in a Lie group $G$ has a natural Lie group structure. We present an explicit formula for the group multiplication in the right trivialization and for the group 2-cocycle describing the abelian Lie group extension $\mathfrak{g}\to J^{k}G\to J^{k-1}G$.
arxiv  

Embeddings of projective spaces into elliptic projective Lie groups [PDF]

, 1959
Ichiro Yokota
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