A GENERALIZATION OF LUCKY GUESS LIE GROUP LG(3n) AND ITS LIE ALGEBRA lg(3n)

Year 2015, Volume: 33 Issue: 3, 429 - 437, 01.09.2015

Ayşe Kara Hansen Mahmut Kudeyt

Abstract

In this work, we generalize the Lucky Guess Lie group of dimension three [1], to the dimension 3n which is a solvable and non-nilpotent Lie group. We calculate general forms of the elements of both the Generalized Lucky Guess Lie group of dimension 3n and its Lie algebra, and study some algebraic and topological properties [4].

Keywords

Lucky guess lie group LG(3), lie algebra lg(3), generalized lucky guess lie group LG(3n), generalized lie algebra lg(3n).

References

• [1] Bowers A., “Classification of Three Dimensional Real Lie Algebras Survey”, 2005
• [2] Jacobson N., Lie Algebras, 1962. Jacobson N., Lie Algebras, 1962.
• [3] Frank W., “Warner Foundations of Differentiable Manifolds and Lie Groups”, Springer, 1983.
• [4] Adams R., “The Euclidean Group SE(2)" , Mathematics Seminar Rhodes University, 2010.
• [5] Ayala V., Kizil E., Tribuzy I. D. A., “On algoratihm for finding derivations of Lie algebras”, Proyecciones Journal of Mathematics, 2012.