JournalsjcaVol. 3, No. 3pp. 215–236

Flat deformations of algebras and functional equations

  • Boris Feigin

    National Research University, Moscow, Russia

  • Alexander Odesskii

    Brock University, St. Catharines, Canada
Flat deformations of algebras and functional equations cover

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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.

Cite this article

Boris Feigin, Alexander Odesskii, Flat deformations of algebras and functional equations. J. Comb. Algebra 3 (2019), no. 3, pp. 215–236

DOI 10.4171/JCA/31