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arXiv · 1907.05953

Word problem for finitely presented metabelian Poisson algebras

Zerui Zhang·Yuqun Chen·L. A. Bokut
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Abstract

We first construct a linear basis for a free metabelian Poisson algebra generated by an arbitrary well-ordered set. It turns out that such a linear basis depends on the characteristic of the underlying field. Then we elaborate the method of Gröbner--Shirshov bases for metabelian Poisson algebras. Finally, we show that the word problem for finitely presented metabelian Poisson algebras are solvable.

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Zerui Zhang, Yuqun Chen, L. A. Bokut. 2019-07-11. Word problem for finitely presented metabelian Poisson algebras. https://arxiv.org/abs/1907.05953

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