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Quaternion Algebras and Quadratic Forms

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second2.pdf (366.54 KB)

Date

2008-05-12T16:53:21Z

Authors

Zi Yang, Sham

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Publisher

University of Waterloo

Abstract

The main goal of this Masters' thesis is to explore isomorphism types of quaternion algebras using the theory of quadratic forms, number theory and algebra. I would also present ways to characterize quaternion algebras, and talk about how quaternion algebras are important in Brauer groups by describing a theorem proved by Merkurjev in 1981.

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Keywords

quadratic forms, quaternion algebras

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URI

http://hdl.handle.net/10012/3656

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Theses
Pure Mathematics