Further Applications to Lie Algebras
In this closing chapter we consider three rather unrelated applications of FI’s. The common property of all three topics is the Lie algebra framework. But otherwise, each of them has a different background. We shall discuss the motivation and history just briefly (mostly at the end of the chapter), and in each section we will introduce the necessary notions in a very concise manner. It is not our intention to go into the heart of the matter of these topics. Our main goal is to indicate that FI’s are hidden behind various mathematical notions, and after tracing them out one can effectively apply the theory presented in Part II.
KeywordsAssociative Algebra Poisson Algebra Prime Algebra Nonassociative Algebra Witt Algebra
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Literature and Comments
- H. C. Myung, Malcev-admissible algebras, “Progress in Mathematics”, Vol. 64, Birkhäuser, 1986.Google Scholar