Vincent Astier and Thomas Unger: Signatures of hermitian forms and the Knebusch Trace Formula

thomas dot unger at ucd dot ie

Submission: 2012, Feb 6

Signatures of quadratic forms have been generalized to hermitian forms over algebras with involution. In the literature this is done via Morita theory, which causes sign ambiguities in certain cases. In this paper, a hermitian version of the Knebusch Trace Formula is established and used as a main tool to resolve these ambiguities.

2010 Mathematics Subject Classification: 16K20, 11E39, 13J30

Keywords and Phrases: Central simple algebras, involutions, hermitian forms, signatures, Knebusch trace formula

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