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math.RA2023
An Artin-Schreier-type theory for signatures of hermitian forms over involutions
Nicolas Garrel
In the case of quadratic forms over a field, it is well-known that the prime spectrum of the Witt ring and the space of orderings of the field determine one another, through associ…
math.RA2023
Lambda-operations for hermitian forms over algebras with involution
Nicolas Garrel
The Grothendieck-Witt ring of a field is known to be a -ring, where the -operations are induced by the exterior powers of bilinear spaces. We give a similar construction on t…
math.RA2019
Mixed Witt rings of algebras with involution
Nicolas Garrel
Although there is no natural internal product for hermitian forms over an algebra with involution of the first kind, we describe how to multiply two -hermitian forms t…