Deformation Expression for Elements of Algebras (I) --(Jacobi's theta functions and *-exponential functions)--

2011/04/12 by Hideki Omori, Yoshiaki Maeda, Omori, Hideki +5 · 4 citations
Mathematics · Chemistry · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.1104.2109

Abstract

This paper presents a preliminary version of the deformation theory of expressions of elements of algebras. The notion of *-functions is given. Several important problems appear in simplified forms, and these give an intuitive bird's-eye of the whole theory.

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• Deformation Expression for Elements of Algebras (V) - Diagonal matrix calculus and *-special functions -
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• Deformation Expression for Elements of Algebras (VII) --Vacuum/Pseudo-vacuum Representations--
• Deformation Expression for Elements of Algebras (III) --Generic product formula for *-exponentials of quadratic forms--

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