肿块
发表于 2025-3-25 03:37:21
BeginningsIn this chapter, we define quaternion algebras over fields by giving a multiplication table, following Hamilton; we then consider the classical application of understanding rotations in ..
Sad570
发表于 2025-3-25 09:18:46
InvolutionsIn this chapter, we define the standard involution on a quaternion algebra. In this way, we characterize division quaternion algebras as noncommutative division rings equipped with a standard involution.
保全
发表于 2025-3-25 12:36:21
http://reply.papertrans.cn/79/7817/781645/781645_23.png
山羊
发表于 2025-3-25 19:01:51
Ternary quadratic forms and quaternion algebrasContinuing our treatment of quadratic forms, in this chapter we connect quaternion algebras to ternary quadratic forms.
entrance
发表于 2025-3-25 23:04:02
http://reply.papertrans.cn/79/7817/781645/781645_25.png
ear-canal
发表于 2025-3-26 03:23:41
http://reply.papertrans.cn/79/7817/781645/781645_26.png
interrogate
发表于 2025-3-26 06:06:08
http://reply.papertrans.cn/79/7817/781645/781645_27.png
腐烂
发表于 2025-3-26 11:53:56
Ternary quadratic forms over local fieldsIn this chapter, we classify quaternion algebras over local fields using quadratic forms; this generalizes the classification of quaternion algebras over ..
FAR
发表于 2025-3-26 14:31:27
http://reply.papertrans.cn/79/7817/781645/781645_29.png
谁在削木头
发表于 2025-3-26 16:56:47
Quaternion algebras over global fieldsTo motivate the classification of quaternion algebras over ., we consider by analogy a classification of quadratic fields. We restrict to the following class of quadratic fields for the best analogy.