Eva Bayer-Fluckiger and Daniel Arnold Moldovan: Hermitian categories, extension of scalars and systems of sesquilinear forms

eva.bayer@epfl.ch, danielarnold.moldovan@epfl.ch

Submission: 2012, Dec 29

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 \$\neq 2\$. We finally extend several results concerning sesquilinear forms to the setting of systems of such forms.

2010 Mathematics Subject Classification: 11E39, 11E81

Keywords and Phrases: sesquilinear forms, hermitian forms, systems of sesquilinear forms, hermitian categories, \$K\$-linear categories, scalar extension, Witt group.

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