Hermitian Categories, extension of scalars and systems of hermitian forms
Representation Theory
2013-01-01 v1
Abstract
In this paper we define a notion of Witt group for sesquilinear forms in hermitian categories, which in turn provides a notion of Witt group for sesquilinear forms over rings with involution. We also study the extension of scalars for K-linear hermitian categories, where K is a field of characteristic not 2. We finally extend several results concerning sesquilinear forms to the setting of systems of such forms.
Keywords
Cite
@article{arxiv.1212.6598,
title = {Hermitian Categories, extension of scalars and systems of hermitian forms},
author = {Eva Bayer-Fluckiger and Daniel Moldovan},
journal= {arXiv preprint arXiv:1212.6598},
year = {2013}
}
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16 pages