Affine Algebras with Arbitrary Simple Modules
Be'eri Greenfeld
TL;DR
This paper presents a method to construct affine algebras that can have any specified number of simple modules of each dimension, expanding the understanding of module diversity in algebraic structures.
Contribution
It introduces a novel construction technique for affine algebras with customizable simple module distributions, a significant advancement over previous fixed-structure models.
Findings
Successfully constructed affine algebras with arbitrary simple module counts.
Demonstrated flexibility in the distribution of simple modules across dimensions.
Provided new examples expanding the landscape of affine algebra representations.
Abstract
We construct affine algebras with an arbitrary amount of simple modules of each dimension.
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