Quaternion algebras over elliptic curves

被引：13

作者：

Pumplün, S ^{[1
]}

机构：

[1] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 1998年 / 26卷 / 12期

关键词：

D O I：

10.1080/00927879808826415

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

All composition algebras of rank 2 and 4 over elliptic curves are enumerated and partly classified, and examples of octonion algebras are constructed using the generalized Cayley-Dickson doubling process. The underlying field is assumed to be perfect, and of characteristic not two. Some applications are given.

引用

页码：4357 / 4373

页数：17

共 50 条

[21] Estimates of automorphic cusp forms over quaternion algebras
Aryasomayajula, Anilatmaja
Balasubramanyam, Baskar
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2018, 14 (04) : 1143 - 1170
[22] ON QUATERNION ALGEBRAS OVER THE COMPOSITE OF QUADRATIC NUMBER FIELDS
Acciaro, Vincenzo
Savin, Diana
Taous, Mohammed
Zekhnini, Abdelkader
GLASNIK MATEMATICKI, 2021, 56 (01) : 63 - 78
[23] Theta series of quaternion algebras over function fields
Rosson, HJ
JOURNAL OF NUMBER THEORY, 2002, 94 (01) : 49 - 79
[24] Integral sets of quaternion algebras over a function field
Tornheim, Leonard
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1940, 48 (1-3) : 436 - 450
[25] Representation of 2-torsion of Brauer groups of curves by quaternion algebras
Guletskii, VI
Margolin, GL
Yauchevskii, VI
DOKLADY AKADEMII NAUK BELARUSI, 1997, 41 (06): : 8 - 12
[26] Hall algebras and graphs of Hecke operators for elliptic curves
Alvarenga, Roberto
ISRAEL JOURNAL OF MATHEMATICS, 2020, 239 (01) : 215 - 269
[27] Hall algebras and graphs of Hecke operators for elliptic curves
Roberto Alvarenga
Israel Journal of Mathematics, 2020, 239 : 215 - 269
[28] Isogenous of the elliptic curves over the rationals
Nitaj, A
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2002, 20 (04) : 337 - 348
[29] Elliptic curves over Q∞ are modular
Thorne, Jack A.
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2019, 21 (07) : 1943 - 1948
[30] ISOGENOUS OF THE ELLIPTIC CURVES OVER THE RATIONALS
Abderrahmane Nitaj (Mathematik
Journal of Computational Mathematics, 2002, (04) : 337 - 348

← 1 2 3 4 5 →