23 citations · 112 across the 27 of their papers we have counts for
5 papers · 2 filters
Albert algebras over curves of genus zero and one
Susanne Pumpluen
Albert algebras and other Jordan algebras are constructed over curves of genus zero and one, using a generalization of the Tits process and the first Tits construction due to Achha…
Jordan algebras over algebraic varieties
Susanne Pumpluen
We construct Jordan algebras over a locally ringed space using generalizations of the Tits process and the first Tits construction by Achhammer. Some general results on the structu…
Some classes of multiplicative forms of higher degree
S. Pumpluen
Several notions of multiplicativity are introduced for forms of degree over a field of characteristic 0 or greater than d. Examples of multiplicative and strongly multipl…
Forms of higher degree permitting composition
S. Pumpluen
Nondegenerate forms N of degree d on a unital nonassociative algebra A over a ring R which permit composition, i.e., satisfy N(1)=1 and N(xy)=N(x)N(y) for all x,y in A, are studied…
On flexible quadratic algebras
S. Pumpluen
Let R be a ring. A construction method for flexible quadratic algebras with scalar involution over R is presented which unifies various classical constructions in the literature, i…