Relative symmetric polynomials |
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Authors: | M Shahryari |
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Institution: | Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran |
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Abstract: | In this article, we introduce the notion of a relative symmetric polynomial with respect to a permutation group and an irreducible character and we give answers for some natural questions about their structures. In order to study symmetric polynomials with respect to linear characters, we define the concept of relative Vandermonde polynomial. Finally, we present some interesting research problems concerning relative symmetric polynomials. |
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Keywords: | Primary 05E05 Secondary 15A69 |
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