Um convite à teoria algébrica de formas quadráticas e de formas hermitianas

Kaique Santos; Hugo  Luiz Mariano

doi:10.14244/lajm.v1i01.9

Autores

Kaique Santos IME-USP
Hugo Luiz Mariano

DOI:

https://doi.org/10.14244/lajm.v1i01.9

Palavras-chave:

formas quadráticas, anel de Witt, álgebras com involução, formas hermitianas

Resumo

O objetivo deste trabalho é duplo: fornecer uma introdução para os leitores que não estão familiarizados com a teoria algébrica das formas quadráticas sobre corpos (TAFQ) e, na sequência, com o referente construído na TAFQ introduzir a teoria algébrica de formas hermitinas com coeficientes em algébras associativas munidas de uma involução (TAFH).

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