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Twisted Poisson Homology of Truncated Polynomial Algebras in Four Variables

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Document pages: 8 pages

Abstract: In this paper, we study the twisted Poisson homologyof truncated polynomials algebra A infour variables, and we calculate exactly thedimension of i-th (i = 1, 2, 3, 4) twisted Poisson homologygroup over A by the induction on thelength. The calculation methods provided in this paper can also solve truncatedpolynomials algebra in a few variables.

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