Automorphisms and Twisted Forms of Generalized Witt Lie Algebras
β Scribed by William C. Waterhouse
- Book ID
- 125701738
- Publisher
- American Mathematical Society
- Year
- 1991
- Tongue
- English
- Weight
- 342 KB
- Volume
- 327
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/2001839
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π SIMILAR VOLUMES
Let β« be a countable abelian semigroup satisfying a suitable finiteness condition, and let L s [ L be the free Lie algebra generated by a β«-graded vector space V over C. In this paper, from the denominator identity, we derive a dimension formula for the homogeneous subspaces of the free Lie algebra
In a recent paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators. Among them are the simple Lie algebras of generalized Witt type, which are in general nongraded and have no torus. In this paper, some re