Determinants of finite-dimensional algebras

2007/12/12 by Matthieu Romagny, Romagny, Matthieu
Computer Science · Mathematics · #14D20 (Secondary) #16G10 (Primary) #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.AG #math.RA #math.RT #msc:14D20 #msc:16G10

paper · pdf · doi:10.48550/arxiv.0712.1892

14 pages

openalex publication_date 2007/12/12 · arxiv created 2007/12/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

To each associative unitary finite-dimensional algebra over a normal base, we associative a canonical multiplicative function called its determinant. We give various properties of this construction, as well as applications to the topology of the moduli stack of n-dimensional algebras.

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