Conference proceeding
Construction of nilpotent Lie algebras over arbitrary fields
Proceedings of the fourth ACM symposium on symbolic and algebraic computation
05 Aug 1981
Abstract
In this paper we present a general description of a computationally efficient algorithm for constructing every n-dimensional nilpotent Lie algebra as a central extension of a nilpotent Lie algebra of dimension less than n.
As an application of the algorithm, we present a complete list of all real nilpotent six-dimensional Lie algebras. Since 1958, four such lists have been developed: namely, those of Morozov [2], Shedler [3], Vergne [5] and Skjelbred and Sund [4]. No two of these lists agree exactly. Our list resolves all the discrepancies in the other four lists. Moreover, it contains each earlier list as a subset.
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Details
- Title
- Construction of nilpotent Lie algebras over arbitrary fields
- Creators
- Robert BeckBernard Kolman
- Publication Details
- Proceedings of the fourth ACM symposium on symbolic and algebraic computation
- Series
- SYMSAC '81
- Publisher
- Association for Computing Machinery (ACM)
- Resource Type
- Conference proceeding
- Language
- English
- Scopus ID
- 2-s2.0-84968466348
- Other Identifier
- 991019318945004721