Lie Algebras, Lie Groups, and Algebra of Incidence

2020 ◽  
pp. 55-123
Author(s):  
Eduardo Bayro-Corrochano
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
And Algebra

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

1995 ◽  
Author(s):  
Josi A. de Azcárraga ◽  
Josi M. Izquierdo
Keyword(s):  
Lie Groups ◽  
Lie Algebras

scholarly journals Representations of complex semisimple Lie groups and Lie algebras

1966 ◽  
Vol 72 (3) ◽  
pp. 522-526 ◽  
Author(s):  
K. R. Parthasarathy ◽  
R. Ranga Rao ◽  
V. S. Varadarajan
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Semisimple Lie Groups ◽  
Complex Semisimple

scholarly journals Sobolev spaces on Lie groups: Embedding theorems and algebra properties

2019 ◽  
Vol 276 (10) ◽  
pp. 3014-3050 ◽  
Author(s):  
Tommaso Bruno ◽  
Marco M. Peloso ◽  
Anita Tabacco ◽  
Maria Vallarino
Keyword(s):  
Lie Groups ◽  
Sobolev Spaces ◽  
Embedding Theorems ◽  
And Algebra

Harmonicity of vector fields on a class of Lorentzian solvable Lie groups

2018 ◽  
Vol 18 (3) ◽  
pp. 337-344 ◽  
Author(s):  
Ju Tan ◽  
Shaoqiang Deng
Keyword(s):  
Vector Field ◽  
Lie Groups ◽  
Lie Algebras ◽  
Critical Points ◽  
Vector Fields ◽  
Energy Functional ◽  
Smooth Vector ◽  
Solvable Lie Groups ◽  
Invariant Vector ◽  
Invariant Vector Fields

AbstractIn this paper, we consider a special class of solvable Lie groups such that for any x, y in their Lie algebras, [x, y] is a linear combination of x and y. We investigate the harmonicity properties of invariant vector fields of this kind of Lorentzian Lie groups. It is shown that any invariant unit time-like vector field is spatially harmonic. Moreover, we determine all vector fields which are critical points of the energy functional restricted to the space of smooth vector fields.

scholarly journals An introduction to Lie groups and Lie algebras

2009 ◽  
Vol 46 (09) ◽  
pp. 46-5088a-46-5088a
Keyword(s):  
Lie Groups ◽  
Lie Algebras

scholarly journals Dual Lie algebras of Heisenberg Poisson Lie groups

1993 ◽  
Vol 17 (2) ◽  
pp. 429-441
Author(s):  
Kentaro Mikami ◽  
Fumio Narita
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Poisson Lie Groups

Lie Groups and Lie Algebras (Chapters 1-3)

1990 ◽  
Vol 74 (468) ◽  
pp. 199
Author(s):  
Nick Lord ◽  
N. Bourbaki
Keyword(s):  
Lie Groups ◽  
Lie Algebras
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