Counting Finite-Dimensional Algebras Over Finite Field

Journal article (2020)

Authors

N.D. Verhulst Discrete Mathematics and Optimization - EEMCS , Technische Universität Dresden
Research Group
Discrete Mathematics and Optimization (EEMCS) (TU Delft)
Copyright: © 2020 N.D. Verhulst
DOI: https://doi.org/10.1007/s00025-020-01281-6
More Info
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Published Date

2020

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Discrete Mathematics and Optimization

Abstract

In this paper, we describe an elementary method for counting the number of non-isomorphic algebras of a fixed, finite dimension over a given finite field. We show how this method works in the case of 2-dimensional algebras over the field F2.