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arxiv: 1709.00750 · v2 · pith:LR55XOHPnew · submitted 2017-09-03 · 🧮 math.QA · math.AC· math.RT

Functional equations in algebra

classification 🧮 math.QA math.ACmath.RT
keywords algebraequationsfunctionalalgebrasanalogassociativebrieflycase
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We study flat deformations of quotients of a polynomial algebra in a class of graded commutative associative algebras. Functional equations and their solutions in terms of theta functions play important role in these studies. An analog of this theory in a fermionic case is also briefly discussed.

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