Quaternion Algebra: Mathematics, Central Simple Algebra, Real Number, Quaternion, Quadratic Form, Number Theory, Hilbert Symbol, Local Class Field Theory, Algebra Homomorphism - Couverture souple

Couverture souple

ISBN 10 : 6130343671 ISBN 13 : 9786130343675

Editeur : Betascript Publishing, 2010

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a quaternion algebra over a field F is a central simple algebra A over F[1][2] that has dimension 4 over F. Every quaternion algebra becomes the matrix algebra by extending scalars (=tensoring with a field extension), i.e. for a suitable field extension K of F, A otimes_F K is isomorphic to the 2×2 matrix algebra over K. The notion of a quaternion algebra can be seen as a generalization of the Hamilton quaternions to an arbitrary base field. The Hamilton quaternions are a quaternion algebra (in the above sense) over F = mathbb{R} (the real number field), and indeed the only one over R apart from the 2×2 real matrix algebra, up to isomorphism.

Détails de l'édition

• Éditeur: Betascript Publishing
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 6130343671
• ISBN 13: 9786130343675
• Reliure: Broché
• Nombre de pages: 120
• Éditeur: Surhone Lambert M., Timpledon Miriam T., Marseken Susan F.
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible