Formas quadrÃticas sobre corpos, Ãlgebras com divisÃo e Ãlgebras de Clifford

AUTOR(ES)
DATA DE PUBLICAÇÃO

2008

RESUMO

In this dissertation we treat some aspects of the theory of quadratic forms over a field, algebras with division and simple central algebras. Important objects here studied are the Wittâs ring, the Brauerâs group, the Cliffordâs algebras and the Wedderburnâs theorem over the structure of simple central algebras. These theories are deeply linked together and have connections with other areas like the theory of fields, the algebraic geometry, the algebraic topology and the theory of representations. Illustrious mathematicians as Brauer, Clifford, Emmy Noether, Gauss, Hamilton, Hasse, Hurwitz and Wedderburn worked in subjects that are detailed in this text

ASSUNTO(S)

brauerâs group Ãlgebras de clifford grupo de brauer matematica formas quadrÃticas quadratic forms algebras with division cliffordâs algebras Ãlgebras com divisÃo

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