Duality theories for metabelian Lie algebras
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- by Michael A. Gauger PDF
- Trans. Amer. Math. Soc. 187 (1974), 89-102 Request permission
Abstract:
This paper is concerned with duality theories for metabelian (2-step nilpotent) Lie algebras. A duality theory associates to each metabelian Lie algebra N with cod ${N^2} = g$, another such algebra ${N_D}$ satisfying ${({N_D})_D} \cong N,{N_1} \cong {N_2}$ if and only if ${({N_1})_D} \cong {({N_2})_D}$, and if $\dim N = g + p$ then $\dim {N_D} = g + (_2^g) - p$. The obvious benefit of such a theory lies in its reduction of the classification problem.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 187 (1974), 89-102
- MSC: Primary 17B30
- DOI: https://doi.org/10.1090/S0002-9947-1974-0342576-8
- MathSciNet review: 0342576