• Corpus ID: 116914308

A note on random samples of Lie algebras

@article{Beyerle2014ANO,
  title={A note on random samples of Lie algebras},
  author={Georg Beyerle},
  journal={arXiv: Representation Theory},
  year={2014}
}
  • G. Beyerle
  • Published 9 July 2014
  • Mathematics
  • arXiv: Representation Theory
Recently, Paiva and Teixeira (arXiv:1108.4396) showed that the structure constants of a Lie algebra are the solution of a system of linear equations provided a certain subset of the structure constants are given a-priori. Here it is noted that Lie algebras generated in this way are solvable and their derived subalgebras are Abelian if the system of linear equations considered by Paiva and Teixeira is not degenerate. An efficient numerical algorithm for the calculation of their structure… 

References

SHOWING 1-8 OF 8 REFERENCES

Introduction to Lie Algebras and Representation Theory

Preface.- Basic Concepts.- Semisimple Lie Algebras.- Root Systems.- Isomorphism and Conjugacy Theorems.- Existence Theorem.- Representation Theory.- Chevalley Algebras and Groups.- References.-

Algorithm for structure constants

In a $n$-dimensional Lie algebra, random numerical values are assigned by computer to $n(n-1)$ especially selected structure constants. An algorithm is then created, which calculates without

An Introduction to Linear Algebra

Class notes on vectors, linear combination, basis, span. 1 Vectors Vectors on the plane are ordered pairs of real numbers (a, b) such as (0, 1), (1, 0), (1, 2), (−1, 1). The plane is denoted by R,

LIE Λ-ALGEBRAS

Hauberg [2008].GNU Octave manual version

  • 2008

In: Computers in the Study of Nonassociative Rings and Algebras

  • 1977

Lie groups beyond an introduction. Birkäuser

  • 2005