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Denominators for One Variable Poincar\'e Series of Generic Matrices - MaRDI portal

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Denominators for One Variable Poincar\'e Series of Generic Matrices

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Publication:6407722

DOI10.1016/J.JALGEBRA.2022.11.023arXiv2208.06392MaRDI QIDQ6407722

Author name not available (Why is that?)

Publication date: 12 August 2022

Abstract: We study the Poincar'e series of the mixed and pure trace rings of generic matrices. These series are known to be rational functions. We obtain an explicit formula in lowest terms in the case of 2imes2 matrices; a denominator, which we presume but have not been able to prove to be in lowest terms, in the case of 3imes3 matrices; and a conjectured denominator in the general case.





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