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- W2952274580 abstract "We show that every unimodular Lie algebra, of dimension at most 4, equipped with an inner product, possesses an orthonormal basis comprised of geodesic elements. On the other hand, we give an example of a solvable unimodular Lie algebra of dimension 5 that has no orthonormal geodesic basis, for any inner product." @default.
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- W2952274580 date "2013-02-12" @default.
- W2952274580 modified "2023-09-25" @default.
- W2952274580 title "On the existence of orthonormal geodesic bases for Lie algebras" @default.
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- W2952274580 doi "https://doi.org/10.48550/arxiv.1302.2751" @default.
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