Hermitian Categories, extension of scalars and systems of hermitian forms

2012/12/29 by Eva Bayer-Fluckiger, Bayer-Fluckiger, Eva, Daniel Moldovan +1 · 1 citation
Mathematics · #11E39 #11E81 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:11E39 #msc:11E81

paper · pdf · doi:10.48550/arxiv.1212.6598

16 pages

arxiv created 2012/12/29 · arxiv updated 2013/01/01

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.

Cited by

• Sesquilinear forms over rings with involution

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