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Title: Quaternion algebras / John Voight.
Graduate Texts in Mathematics,
Graduate texts in mathematics ;
Main Entry: Voight, John (Mathematician), author.
Publisher: Springer,
Publication Date: [2021]
�2021
Publication Place: Cham, Switzerland :
ISBN: 3030566927
9783030566920
9783030566944
Subject: Quaternions.
Quaternions.
Textbooks.
Series: Graduate Texts in Mathematics, 288
Graduate texts in mathematics ; 288.
Contents: Introduction -- 2. Beginnings -- 3. Involutions -- 4. Quadratic Forms -- 5. Ternary Quadratic Forms -- 6. Characteristic 2 -- 7. Simple Algebras -- 8. Simple Algebras and Involutions -- 9. Lattices and Integral Quadratic Forms -- 10. Orders -- 11. The Hurwitz Order -- 12. Ternary Quadratic Forms Over Local Fields -- 13. Quaternion Algebras Over Local Fields -- 14. Quaternion Algebras Over Global Fields -- 15. Discriminants -- 16. Quaternion Ideals and Invertability -- 17. Classes of Quaternion Ideals -- 18. Picard Group -- 19. Brandt Groupoids -- 20. Integral Representation Theory -- 21. Hereditary and Extremal Orders -- 22. Ternary Quadratic Forms -- 23. Quaternion Orders -- 24. Quaternion Orders: Second Meeting -- 25. The Eichler Mass Formula -- 26. Classical Zeta Functions -- 27. Adelic Framework -- 28. Strong Approximation -- 29. Idelic Zeta Functions -- 30. Optimal Embeddings -- 31. Selectivity -- 32. Unit Groups -- 33. Hyperbolic Plane -- 34. Discrete Group Actions -- 35. Classical Modular Group -- 36. Hyperbolic Space -- 37. Fundamental Domains -- 38. Quaternionic Arithmetic Groups -- 39. Volume Formula -- 40. Classical Modular Forms -- 41. Brandt Matrices -- 42. Supersingular Elliptic Curves -- 43. Abelian Surfaces with QM.
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Yarmouk General QA196 .V65 2021 Normal Circulation Available الكتاب متوفر في الطابق الثالث YU591464 Book