Signatures, sums of hermitian squares and positive cones on algebras with involution

Astier, Vincent; Unger, Thomas

doi:10.3934/era.2018.25.003

Electronic Research Announcements

2018

DOI: 10.3934/era.2018.25.003

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Signatures, sums of hermitian squares and positive cones on algebras with involution

Vincent Astier¹,

Thomas Unger²

Abstract: We provide a coherent picture of our efforts thus far in extending real algebra and its links to the theory of quadratic forms over ordered fields in the noncommutative direction, using hermitian forms and "ordered" algebras with involution.

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2022

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

Santos,

Luiz Mariano

2022

LAJM

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

Santos,

Luiz Mariano

2022

LAJM

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show abstract

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Signatures, sums of hermitian squares and positive cones on algebras with involution

Abstract: We provide a coherent picture of our efforts thus far in extending real algebra and its links to the theory of quadratic forms over ordered fields in the noncommutative direction, using hermitian forms and "ordered" algebras with involution.

Cited by 1 publication

References 34 publications

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

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

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