Arithmetic and Analytic Theories of Quadratic Forms and Clifford Groups

Erscheinungsjahr 2004
ISBN: 978-0-8218-3573-9
Verlag: American Mathematical Society

Buch, Englisch, Band 109

Reihe: Mathematical Surveys & Monographs

After reviewing the algebraic theory of Clifford algebras and spin groups, this monograph investigates quadratic Diophantine equations, showing that the number of orbits of primitive solutions under a group of units is essentially the class number of an orthogonal group of degree n-1, and develops t

In this book, award-winning author Goro Shimura treats new areas and presents relevant expository material in a clear and readable style. Topics include Witt's theorem and the Hasse principle on quadratic forms, algebraic theory of Clifford algebras, spin

Introduction; Algebraic theory of quadratic forms, Clifford algebras, and spin groups; Quadratic forms, Clifford groups, and spin groups over a local or global field; Quadratic diophantine equations; Groups and symmetric spaces over R; Euler products and Eisenstein series on orthogonal groups; Euler products and Eisenstein series on Clifford groups; Appendix; References; Frequently used symbols; Index

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Über Autor(innen)

Shimura, Goro (Princeton University)