Bilinear algebra : an introduction to the algebraic theory of quadratic forms

著者

• Szymiczek, Kazimierz

書誌事項

Bilinear algebra : an introduction to the algebraic theory of quadratic forms

Kazimierz Szymiczek

（Algebra, logic and applications series, v. 7）

Gordon and Breach Science Publishers, c1997

内容説明・目次

内容説明

Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms. Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.

目次

Part I: Bilinear Spaces Part II: Witt Rings Part III: Invariants Appendices (A) Symbolic Hasse and Witt Invariants Appendices (B) Selected Problems

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA33300047
• ISBN:
  • 9056990764
• 出版国コード: ne
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Amsterdam
• ページ数/冊数: xii, 486 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BA0740816X