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arXiv · 1512.03570

Nontriviality results for the characteristic algebra of a DGA

Georgios Dimitroglou Rizell
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Abstract

Assume that we are given a semifree noncommutative differential graded algebra (DGA for short) whose differential respects an action filtration. We show that the canonical unital algebra map from the homology of the DGA to its characteristic algebra, i.e. the quotient of the underlying algebra by the two-sided ideal generated by the boundaries, is a monomorphism. The main tool that we use is the weak division algorithm in free noncommutative algebras due to P. Cohn.

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Georgios Dimitroglou Rizell. 2015-12-11. Nontriviality results for the characteristic algebra of a DGA. https://doi.org/10.1017/s0305004116000645

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