The level of division algebras over local and global fields

DOI10.1016/0022-314X(89)90059-0zbMath0698.12013MaRDI QIDQ912150

David B. Leep, Nicole Vast, Jean-Pierre E. Tignol

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

local fieldsquadratic formsglobal fieldslevelfinite-dimensional central division algebra

Mathematics Subject Classification ID

Quaternion and other division algebras: arithmetic, zeta functions (11R52) Forms and linear algebraic groups (11E99) Algebras and orders, and their zeta functions (11S45)

Related Items

HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS, The Haase norm theorem mod squares, Levels of division algebras, The level of cyclic division algebras, A Variant of Higher Product Levels of Integral Domains and *-Domains, Isotropy of certain quadratic forms of dimensions 7 and 8 over the function field of a quadric

Cites Work

• The class number of hereditary orders in non-Eichler algebras over global function fields
• Sums of squares in division algebras
• On the level of skew-fields
• On Ordered Skew Fields
• On ordered algebras
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