Geodesic
A new discriminant algebra construction
Documenta mathematica, Tome 21 (2016), pp. 1051-1088.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A discriminant algebra operation sends a commutative ring $R$ and an $R$-algebra $A$ of rank $n$ to an $R$-algebra $\Delta$_A/R of rank 2 with the same discriminant bilinear form. Constructions of discriminant algebra operations have been put forward by Rost, Deligne, and Loos. We present a simpler and more explicit construction that does not break down into cases based on the parity of $n$. We then prove properties of this construction, and compute some examples explicitly.
Classification : 13B02, 14B25, 11R11, 13B40, 13C10
Keywords: discriminant algebra, discriminant form, algebra of finite rank, étale algebra, polynomial law 
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Biesel, Owen; Gioia, Alberto. A new discriminant algebra construction. Documenta mathematica, Tome 21 (2016), pp. 1051-1088. http://geodesic.mathdoc.fr/item/DOCMA_2016__21__a16/