Abstract
The ring of invariants of a set of n×n matrices over a field of characteristic zero is a graded ring. The Procesi-Razmyslov theory of trace identities gives criteria for it to be generated by its elements of degree ≤r. These criteria are used to reprove the Procesi-Razmyslov result that it is generated by its elements of degree ≤n2 and to show that it is not generated by its elements of degree ≤n2/8.
Partially supported by the National Science Foundation.
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© 1986 Springer-Verlag
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Formanek, E. (1986). Generating the ring of matrix invariants. In: van Oystaeyen, F.M.J. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076314
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DOI: https://doi.org/10.1007/BFb0076314
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