An invariant on $3$-dimensional Lie algebras
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- by Hiroyuki Tasaki and Masaaki Umehara
- Proc. Amer. Math. Soc. 115 (1992), 293-294
- DOI: https://doi.org/10.1090/S0002-9939-1992-1087471-0
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Abstract:
We construct an extra symmetric bilinear form on a $3$-dimensional Lie algebra $\mathfrak {g}$ which induces an invariant $\chi \left ( \mathfrak {g} \right )$ on $\mathfrak {g}$. Moreover it provides a new viewpoint for the classical classification of $3$-dimensional Lie algebrasReferences
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- John Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Math. 21 (1976), no. 3, 293–329. MR 425012, DOI 10.1016/S0001-8708(76)80002-3
Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 293-294
- MSC: Primary 17B05
- DOI: https://doi.org/10.1090/S0002-9939-1992-1087471-0
- MathSciNet review: 1087471