Hermitian categories, extension of scalars and systems of sesquilinear forms
نویسندگان
چکیده
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 6= 2. We finally extend several results concerning sesquilinear forms to the setting of systems of such forms. Mathematics Subject Classification (2000) 11E39, 11E81.
منابع مشابه
Sesquilinear forms over rings with involution
Many classical results concerning quadratic forms have been extended to Hermitian forms over algebras with involution. However, not much is known in the case of sesquilinear formswithout any symmetry property. The present paperwill establish aWitt cancellation result, an analogue of Springer’s theorem, as well as some local–global and finiteness results in this context. © 2013 Elsevier B.V. All...
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تاریخ انتشار 2012