Hermitian forms over division algebras over real function fields

1993 ◽  
Vol 78 (1) ◽  
pp. 9-35 ◽  
Author(s):  
Nguyen Quoc Thang
Keyword(s):  
Real Function ◽  
Function Fields ◽  
Division Algebras ◽  
Hermitian Forms

Algorithms for quadratic forms over real function fields

2016 ◽  
Vol 108 ◽  
pp. 133-141
Author(s):  
Konrad Jałowiecki ◽  
Przemysław Koprowski
Keyword(s):  
Real Function ◽  
Quadratic Forms ◽  
Function Fields

scholarly journals Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves

2011 ◽  
Vol 226 (5) ◽  
pp. 4316-4337 ◽  
Author(s):  
E. Brussel ◽  
K. McKinnie ◽  
E. Tengan
Keyword(s):  
Function Fields ◽  
Division Algebras

Algebraic elements in division algebras over function fields of curves

1985 ◽  
Vol 52 (1-2) ◽  
pp. 33-45 ◽  
Author(s):  
Michel van den Bergh ◽  
Jan van Geel
Keyword(s):  
Function Fields ◽  
Division Algebras ◽  
Algebraic Elements

scholarly journals Division algebras and maximal orders for given invariants

2016 ◽  
Vol 19 (A) ◽  
pp. 178-195 ◽  
Author(s):  
Gebhard Böckle ◽  
Damián Gvirtz
Keyword(s):  
Function Fields ◽  
Maximal Order ◽  
Global Field ◽  
Division Algebras ◽  
Wild Ramification ◽  
Maximal Orders ◽  
Cyclic Algebras

Brauer classes of a global field can be represented by cyclic algebras. Effective constructions of such algebras and a maximal order therein are given for$\mathbb{F}_{q}(t)$, excluding cases of wild ramification. As part of the construction, we also obtain a new description of subfields of cyclotomic function fields.

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