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New central polynomials for the matrix algebra

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Abstract

Forn≥3 we find a central polynomial of degree (n−1)2+4 for then×n matrix algebra over a field of characteristic 0. Forn=3,4 our polynomial coincides with the known central polynomials of minimal degree and forn>4 the result gives new central polynomials. Until now, forn>4 the minimal degree of the known central polynomials wasn 2.

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Authors and Affiliations

  1. Institute of Mathematics, Bulgarian Academy of Sciences, Akad. G. Bonchev Str. Block 8, 1113, Sofia, Bulgaria

    V. Drensky

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  1. V. Drensky
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Partially supported by the Alexander von Humboldt Foundation in Germany and by Grant MM2/91 of the Ministry of Education and Science in Bulgaria.

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Drensky, V. New central polynomials for the matrix algebra. Israel J. Math. 92, 235–248 (1995). https://doi.org/10.1007/BF02762079

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  • DOI: https://doi.org/10.1007/BF02762079

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