Functional equations in algebra

2017/09/03 by Boris Feigin, Alexander Odesskii, Feigin, Boris +1
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.AC #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1709.00750

22 pages, Latex

arxiv created 2017/11/14 · arxiv updated 2017/11/16

Abstract

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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