An Algebra of Exponential Polynomials as the Cofinite Dual of the Hopf Algebra of Polynomials |
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| Authors: | Gabriel Bengochea |
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| Institution: | Universidad Autónoma de la Ciudad de México , México , México |
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| Abstract: | We prove that the cofinite dual of the Hopf algebra of polynomials in several variables can be represented as a Hopf algebra ? of exponential polynomials that contains the polynomials as a Hopf subalgebra. We also present some algebras isomorphic to ? whose elements are rational functions or multi-sequences. |
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| Keywords: | Exponential polynomials Linearly recurrent sequences Polynomial Hopf algebra |
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