Central Simple Algebras and Galois Cohomology

Gille, P., & Szamuely, T. (2017). Central Simple Algebras and Galois Cohomology. Cambridge University Press.

Type

Book

Intellectual base

Review or monograph

Year

2017

DOI

10.1017/9781316661277

ISBN

9781107156371

DOI registrant

Cambridge University Press

Link

https://doi.org/10.1017/CBO9780511542879

Cited by

3 citations across 3 artifacts.

Domain-specific

• Norm Form
  • This polynomial is the Norm Form of the extension relative to the chosen basis.
• Quasi-algebraically closed field
  • The entry locks the classical C1 field property; consequences about Brauer groups, cohomology, and extensions are stated only with their established hypotheses.
• Subfield of an algebra
  • … between constitutive identity and a convenient observable transfers from A maximal commutative subfield of a central simple algebra can have extension degree equal to the algebra's degree. to An algebraist distinguishes maximal by inclusion from strictly maximal by dimension and verifies the center embedding..

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