Cyclic metric Lie groups
P. M. Gadea, Jose Carmelo Gonzalez-Davila, Jose Antonio Oubina

TL;DR
This paper studies cyclic metric Lie groups, focusing on their classification in low dimensions, and explores their structure in semisimple and solvable cases, extending previous classifications to more general cases.
Contribution
It extends classifications of cyclic metric Lie groups to the general case beyond unimodular groups in low dimensions.
Findings
Classification of unimodular cyclic metric Lie groups up to dimension five
Analysis of semisimple and solvable cyclic metric Lie groups
Extension of existing classifications to more general cases
Abstract
Cyclic metric Lie groups are Lie groups equipped with a left-invariant metric which is in some way far from being biinvariant, in a sense made explicit in terms of Tricerri and Vanhecke's homogeneous structures. The semisimple and solvable cases are studied. We extend to the general case, Kowalski-Tricerri's and Bieszk's classifications of connected and simply-connected unimodular cyclic metric Lie groups for dimensions less than or equal to five.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Advanced Algebra and Geometry · Advanced Operator Algebra Research
