Levels and sublevels of composition algebras over $$\mathfrak{p}$$ -adic function fields

Autor:	Jan Van Geel, James O'Shea
Rok vydání:	2008
Předmět:	Pure mathematics Quaternion algebra Quadratic form General Mathematics Ramification (botany) Dimension (graph theory) Octonion algebra Function (mathematics) Rational function Composition (combinatorics) Mathematics
Zdroj:	Archiv der Mathematik. 91:31-43
ISSN:	1420-8938 0003-889X
DOI:	10.1007/s00013-008-2641-9
Popis:	In [7], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields. In this paper, the level and sublevel of composition algebras, of dimension 4 and 8 over rational function fields over local non-dyadic fields, are determined completely in terms of the local ramification data of the algebras. The proofs are based on the “classification” of quadratic forms over such fields, as is given in [8].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::83ef455af07c8517fec8f10eae1b0998 https://doi.org/10.1007/s00013-008-2641-9 Zobrazit plný text záznamu Full text from SpringerLink