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FIXED POINTS OF AUTOMORPHISMS PERMUTING THE GENERATORS CYCLICALLY IN FREE SOLVABLE LIE ALGEBRAS
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Abstract: We investigate fixed points of an automorphism of a free solvable Lie algebra which permutes the generators cyclically. Let ? be a cyclic permutation of order n which belongs to the nth symmetric group S_n. We give form of the fixed points of an automorphism of a free solvable Lie algebra which is induced by the permutation ?.
Keywords: Free Solvable Lie algebra, automorphism, fixed point, cyclic permutation.
How to Cite:
[1] Zerrin Esmerligil, “FIXED POINTS OF AUTOMORPHISMS PERMUTING THE GENERATORS CYCLICALLY IN FREE SOLVABLE LIE ALGEBRAS,” International Advanced Research Journal in Science, Engineering and Technology (IARJSET), DOI: 10.17148/IARJSET.2016.3648
This work is licensed under a Creative Commons Attribution 4.0 International License.