Determinants of finite-dimensional algebras

Matthieu Romagny (1)

1 IMJ - Institut de Mathématiques de Jussieu

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.

Mots clés: algebra; determinant; moduli

Domaines: Géométrie algébrique [math.AG]; Anneaux et algèbres [math.RA]; Théorie des représentations [math.RT]

Matthieu Romagny. Determinants of finite-dimensional algebras. 2007. ⟨hal-00196093v2⟩