Functional equations for character series associated with matrices

Author:
Edward Formanek

Journal:
Trans. Amer. Math. Soc. **294** (1986), 647-663

MSC:
Primary 15A72; Secondary 16A38

DOI:
https://doi.org/10.1090/S0002-9947-1986-0825728-8

MathSciNet review:
825728

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Abstract: Let be either the ring of invariants or the trace ring of generic matrices. Then has a character series which is a symmetric rational function of commuting variables . The main result is that if , then satisfies the functional equation

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DOI:
https://doi.org/10.1090/S0002-9947-1986-0825728-8

Article copyright:
© Copyright 1986
American Mathematical Society